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Worksheets

Quadratics Review (Acc)

Total questions: 156

Worksheet time: 9hrs 50mins

Name
Class
Date
1.

Are you ready for review on QUADRATICS GRAPHS/GRAPHING?

a)

yes

b)

no

2.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
3.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
4.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
5.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
6.

Find the y-intercept of f(x) = -x2 - 4x + 1

a)

-2

b)

4

c)

1

d)

-1

7.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
8.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
9.
What is the formula to find the vertex of a parabola?
a)
x = -b/2
b)
x = -b
c)
x = -b / (2a)
d)
x = -b / 2
10.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
11.
What is the range of this function?
a)
All real numbers.
b)
All real numbers greater than or equal to 0.
c)
All real numbers greater than or equal to -2.
d)
All real numbers greater than or equal to 2.
12.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
13.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
14.
What is the domain of f(x)=x²-4 ?
a)
−∞ ≤ x ≤ +∞
b)
 x ≥ -4
c)
−∞ ≤ y ≤ +∞
d)
 y ≥ -4
15.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
16.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
17.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
18.
What is the axis of symmetry of:y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
19.
What is the y-intercept of: y=7x2+2x -1
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
20.
What is the range for the function below? 
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
21.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

x = 5

b)

x=1

c)

y = 1

d)

y = 5

22.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
23.

Are you ready for the test on QUADRATICS GRAPHS/GRAPHING?

a)

yes

b)

no

24.

Are you ready for review on WRITING EQUATIONS?

a)

yes

b)

no

25.

What is the equation of this graph?

a)

f(x) = x(x+4)f\left(x\right)\ =\ x\left(x+4\right)

b)

f(x) = x(x−4)f\left(x\right)\ =\ x\left(x-4\right)

c)

f(x) = 12x(x+4)f\left(x\right)\ =\ \frac{1}{2}x\left(x+4\right)

d)

f(x) = 12x(x−4)f\left(x\right)\ =\ \frac{1}{2}x\left(x-4\right)

26.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
27.
What form is this?
f(x)= 2(x+3)2 - 4
a)
factored form
b)
Standard Form
c)
Vertex Form
d)
Parabola
28.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form 
d)
Cannot be determined
29.

How did we transform from the parent function y = x2 to y = -1/5(x - 1)2 + 7 ?

a)

reflection, vertical shrink, horizontal shift right, vertical shift up

b)

vertical shrink, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

reflection, vertical stretch, horizontal shift left, vertical shift up

30.
Which of the equations represent the graph?
a)
y=(x+3)(x-1) and y=x2+2x-3
b)
y=(x+3)(x-1) and y=-x2-2x+3
c)
y=-(x-3)(x+1) and y= x2+2x-3
d)
y=-(x+3)(x-1) and y= -x2-2x+3
31.
a)
F
b)
G
c)
H
d)
J
32.
a)
F
b)
G
c)
H
d)
J
33.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
34.

A quadratic function has zeros -7 and 9.

What are the linear factors of the function?

a)

(x+7) (x-9)

b)

(x-7) (x+9)

c)

(x+7)(x+9)

d)

(x-7)(x-9)

35.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds. 
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 
36.
Which of the following describes the graph of f(x)= x2 - 2x -15.
a)
The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
b)
The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
c)
The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
d)
The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)
37.
Which of the following is written in the correct vertex form and identifies the correct vertex and y-intercept for the function                 f(x)= x2+6x-1?
a)
y=(x+3)2-10
Vertex: (-3, -10)
y-intercept: (0, -1)
b)
y=(x+3)2+19
Vertex: (-3, 19)
y-intercept: (0, 1)
c)
y=(x+3)2+1
Vertex: (-3, -1)
y-intercept: (0, -10)
d)
y=(x-3)2+10
Vertex: (3, 10)
y-intercept: (0, -1)
38.
Convert to vertex form.
y = 3x2 +6x - 5
a)
y=3(x+1)2 - 8
b)
y=3(x-1) 2 - 8
c)
y=3(x+2)2 - 8
d)
y=3(x-2)2 - 8
39.

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

a)
b)
c)
d)
40.
Which of the following is the vertex to the function? 
y =(x - 8)(x +2) 
a)
(8,-2 )
b)
(3,-25)
c)
(5,-21)
d)
(-8,2)
41.
Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?
a)
f(x)= -(x-4)2+7
b)
f(x)= (x+4)2+7
c)
f(x)= -(x+4)2+7
d)
f(x)= (x-4)2+7
42.
Transfer from Standard Form to Vertex Form: n2 - 4n - 15 = 6
a)
(n - 2)2 - 25
b)
(n + 2)2 +25
c)
(n - 2)2 - 13
d)
(n - 2)2 + 13
43.
How does the graph of g(x)=3x2 compare to the quadratic parent function f(x)=x2 ?
a)
The graph of g(x) is wider than the graph of f(x).
b)
The graph of g(x) is narrower than the graph of f(x).
c)
The graph of g(x) is translated up 3 units above f(x).
d)
The graph of g(x) is translated down 3 units below f(x).
44.
Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).
a)
y = -4(x - 2)(x - 4)
b)
y = -4(x + 2)(x + 4)
c)
y = 4(x - 2)(x - 4)
d)
y = -0.25(x - 2)(x - 4)
45.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)
b)
c)
d)
46.

Are you ready for the test on WRITING EQUATIONS?

a)

yes

b)

no

47.

Are you ready for review on WORD PROBLEMS?

a)

yes

b)

no

48.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
49.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
What is the maximum height?
a)
960 feet
b)
1008 feet
c)
1024 feet
d)
1152 feet
50.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
51.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 
a)
10 feet 
b)
19 feet
c)
13 feet
d)
16 feet 
52.

After how many seconds would it take you to reach the water if you went cliff diving and the following equation represents your path?

h(t) = -16t2 + 8t + 24

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

53.

Are you ready for the test on WORD PROBLEMS?

a)

yes

b)

no

54.

Are you ready for review on SOLVING 3 METHODS?

a)

yes

b)

no

55.

Which of the following are other words for zeros? (Choose ALL that apply)

a)

x-intercepts

b)

roots

c)

vertex

d)

solutions

e)

y-intercepts

56.
Use the Zero Product Property to solve the equation (7x+2)(5x-4)=0
a)
2,-4
b)
2/7 , 4/5
c)
-2/7 , 4/5
d)
-2, 4
57.

Factor x2 + 12x + 20

a)

(x + 2)(x + 10)

b)

(x + 7)(x + 5)

c)

(x + 6)(x + 6)

d)

(x+4)(x+5)

58.

Factor: x2+16x+64

a)

(x+8)2

b)

(x+2)(x+32)

c)

(x+8)(x-8)

d)

(x+4)2

59.
Factor completely
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
60.
Factor completely
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
61.
Factor completely
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
62.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
63.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
64.
Solve  by factoring
x2 + 13x + 12 = 0
a)
x = -12, -1
b)
x = 12, 1
c)
x = 13, 1
d)
x = -13, -1
65.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

66.
What is this?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
67.
Solve using the quadratic formula
a)
A 
b)
B 
c)
C 
d)
D 
68.
Solve the equation using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
69.
Solve the equation using the quadratic formula.
a)
A 
b)
B 
c)
C 
d)
D 
70.

Use the graph to determine the solutions of the equation

0 = x2 - 5x + 1

a)

0 and 5

b)

0.5 and 4.5

c)

0.2 and 4.8

d)

1 and 7

71.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
72.
What is the solution set for the quadratic function? 
a)
{-1.4, 4.2}
b)
{-1.4}
c)
{4.2}
d)
{1.5}
73.

What are the solutions to the quadratic equation:

3(x - 2)2 = 192

a)

x = -6 and x = 10

b)

x = 6 and x = -10

c)

x = ±10

d)

x = 2 ± 8√3

74.
Solve by taking square roots:
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
75.
Solve by taking square roots:
3 + 9r2 = 12
a)
r = 0
b)
no solution
c)
r = 3, r = -3
d)
r = 1, r = -1
76.
Solve
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
77.

Factor 3x2 - 75

a)

3( x + 5 ) ( x - 5 )

b)

x=±5x=\pm5

c)

( 3x + 15 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

78.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
79.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
80.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
81.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
82.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
83.
Solve by factoring:  4x2 + 11x - 3 = 0
a)
x = -3/4 and x = -1
b)
x = 4 and x = 3
c)
x = 1/4 and x = -3
d)
x = -1/4 and x = 3
84.
Solve the equation (x + 3)2 = 49.
a)
x = -7, 7
b)
x = 4, -10
c)
x = -4 +- √7
d)
x = 10, -4
85.
Find the factors of 100x2-64
a)
(10x-8)(10x+8)
b)
(x-10)(x+8)
c)
(10x+8)(10x+8)
d)
(10x-8)(10x-8)
86.

Find the factors of 5x2+20x+20

a)

5(x+2)2

b)

5(x-2)2

c)

5(x+2)(x-2)

d)

(5x+10)(x+2)

87.

Factor

x2 + 8x

a)

(x + 2)(x + 4)

b)

(x + 8)(x + 1)

c)

x(x + 8)

d)

2x(x + 4)

88.

Factor

6x2 - 23x + 20

a)

(3x - 4)(2x - 5)

b)

(3x - 4)(2x + 5)

c)

(3x + 2)(2x - 10)

d)

(3x + 2)(2x + 10)

89.
a)

i√3

b)

±i√3

c)

-3i

d)

i±√3

90.

Best method to solve this?

a)

Factor

b)

Complete the Square

c)

Quadratic Formula

d)

No Solution

91.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
92.

Best method to solve this?

a)

Factor

b)

Completing the Square

c)

Quadratic Formula

d)

No real solution

93.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
94.

Suzie solves the equation below:

x2 + 4x - 12 = 2

(x - 2)(x + 6) = 2,

by setting x -2 = 2 and x + 6 = 2.

Her solutions are x = 4 and x = -4.

Is Suzie correct? Why or why not?

a)

Yes, she factored correctly and then used the zero product property

b)

Yes, she factored correctly and then square rooted.

c)

No, she did factor correctly, but she can't use the zero product property as shown.

d)

No, she didn't factor correctly so the rest of her work is wrong.

95.
Solve by factoring.
-4y2 + 24y - 36 = 0
a)
-3
b)
7/2
c)
4
d)
3
96.

Solve

3x2 - 5 = -446

a)

±7i

b)

7i√3

c)

±7i√3

d)

-7√3

97.

Factor 25x2-9y2-24y-16

a)

(5x+3y+4)(5x-3y+4)

b)

(5x+3y+4)(5x-3y-4)

c)

(5x+3y-4)(5x+3y+4)

d)

(5x-3y-4)(5x-3y+4))

98.
Is the point (1, 6) in the solution set of
y < x2 + 2x + 2? 
(hint: plug it in and test if it's a solution) 
a)
YES
b)
NO
99.

Are you ready for the test on SOLVING 3 METHODS?

a)

yes

b)

no

100.

Are you ready for review on DISCRIMINANT?

a)

yes

b)

no

101.
What is the discriminant?
a)
b²-4ac
b)
b2/2a
c)
4ac
d)
b2±4ac
102.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

2 Imaginary Solutions

d)

No Real Solution

103.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

2 Imaginary Solutions

d)

No Real Solutions

104.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

2 Imaginary Solutions

d)

No Real Solution

105.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
106.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
107.
What are the zeros for the quadratic function? 
a)
(-6, 0) and (14, 0)
b)
(-50, 0) and (14, 0)
c)
(-6, 0) and (-50, 0)
d)
(-50, 0) and (-60, 0)
108.
How many roots does this parabola have?
These are the points where the parabola goes through the X - AXIS 
a)
3
b)
2
c)
0
d)
1
109.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
110.

Are you ready for the test on DISCRIMINANT?

a)

yes

b)

no

111.

Are you ready for review on COMPLEX NUMBERS?

a)

yes

b)

no

112.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

113.

What is i?

a)

1

b)

-1

c)

√-1

d)

√1

114.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
115.
i66
a)
1
b)
i
c)
-1
d)
-i
116.
i52
a)
i
b)
-i
c)
1
d)
-1
117.
i7
a)
i
b)
-i
c)
1
d)
-1
118.
i13
a)
-1
b)
1
c)
i
d)
-i
119.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
120.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

121.
Simplify:
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
122.
Simplify:
3√-81
a)
-27
b)
3i√3
c)
27i
d)
9i
123.
a)
A
b)
B
c)
C
d)
D
124.
a)
5i
b)
-5i
c)
5+i
d)
-5
125.
Simplify:
(3 + 2i) + (4i + 6)
a)
9 + 6i
b)
7i + 8
c)
9 + 6i2
d)
9 - 6i
126.
Simplify:
-3i(4 + 2i)
a)
6 - 12i
b)
6 + 12i
c)
-12i - 6i2
d)
-12i + 6i2
127.
Simplify:
(4 + 7i) - (3 + 2i)
a)
1 + 5i
b)
7 + 9i
c)
1 + 9i
d)
-1 + 5i
128.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
129.
Simplify:
(2 - 3i)(5 + 4i)
a)
22 - 7i
b)
22 + 7i
c)
22 - 7i2
d)
22 + 7i2
130.
(4-5i)(4+5i)
a)
41
b)
-9
c)
41+40i
d)
-9+40i
131.

(-7+6i)2

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

132.
What is the complex conjugate of  4-3i?
a)
A.  1/(4-3i)
b)
B. 1/(4+3i)
c)
C.  -4 + 3i
d)
D.  4 + 3i
133.
a)
A
b)
B
c)
C
d)
D
134.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

135.
(-4i)(3i)(4i)
a)
24
b)
-48i
c)
48i
d)
60
136.
(5-4i)(-3-6i)(-8-3i)
a)
54-363i
b)
258+261i
c)
198+309i
d)
12+114i
137.

Are you ready for the test on COMPLEX NUMBERS?

a)

yes

b)

no

138.

Are you ready for review on SYSTEMS?

a)

yes

b)

no

139.

A.6A: The function below can be used to model the area of a rectangle in square inches, A, if the rectangle has a perimeter of 72 inches and a width of w inches.

A = 36w - w2

In this situation, which of the following best describes the domain of the function?

a)

0 < w < 6

b)

0 < w < 72

c)

0 < w < 18

d)

0 < w < 36

140.
Solve the system of equations: 
-6x + 12y = -30
y = 4x + 1
a)
(-3, -1)
b)
(0, 1)
c)
(-1, -3)
d)
(1, 2.5)
141.
Find the solution.
a)
(2,3) and (3,4)
b)
(-3,-15) and (4,-8)
c)
(-3,10) and (8,4)
d)
(-8,3) and (-4,10)
142.
Which of the following equations could be used to solve:
y = x2 + 3x - 5
y = x + 3
a)
x2 - 3x + 5 = x - 3
b)
x2 + 3x - 5 = x + 3
c)
x2 + 3x - 5 + x + 3 = 0
d)
x2 + 3x - 5 = 0
143.
Find the solution:
y = x2 - 4x + 6
y = x + 2
a)
(3, 1) and (6, 4)
b)
(-1, 1) and (4, 2)
c)
(1, 3) and (4, 6)
d)
(1, 4) and (3, 6)
144.
Find the solution.
a)
(0,7) and (0,-3)
b)
(2,6) and (7,4)
c)
(3,0) and (7,4)
d)
(-1,5) and (-3,9)
145.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

no solutions

d)

All of the above

146.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

three solutions

d)

no solutions

147.

Graph the following equations:

y= - 2x - 3

y=x2-10x +22

a)
b)
c)
d)
148.

Solve the depicted system algebraically

a)

(0,-7) and (1, 6)

b)

(0,-7) and (1, -6)

c)

(0, 7) and (1, -6)

d)

(-7,0) and (1, -6)

149.
Determine the solution to the given linear-quadratic function.
a)
(0, 0)
b)
(3, 0)
c)
(2, -3)
d)
(-3, 2)
150.

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

a)

No solution

b)

1 solution

c)

2 solutions

d)

3 solutions

151.

Which of the following is the equation of the quadratic that contains (-5, 0), (-3, 8), and (-2, 6)

a)

y=−2x2−12x−10y=-2x^2-12x-10

b)

y=2x2+12x−10y=2x^2+12x-10

c)

y=−2(x−3)2+8y=-2\left(x-3\right)^2+8

d)

y=−2x2−3x+8y=-2x^2-3x+8

152.

What is the quadratic equation of the table?

a)

y=2x2+3x+6

b)

y=x2 - 5x + 6

c)

y=-5x2 + 10x + .89

d)

y=(x-2)(x-3)+6

153.

Write the standard form function for the given quadratic table.

a)

f(x)=2x2+3x-5

b)

f(x)=2x2+4x-1

c)

f(x)=x2+2x

d)

f(x)=x2+4x+0

154.

Write the standard form function for the given quadratic table.

a)

f(x)=3x2+1x+2

b)

f(x)=3x2-3x+6

c)

f(x)=6x2+2x-2

d)

f(x)=x2+4x+1

155.

A dolphin was swimming under water. A submarine nearby noticed the dolphins height from the surface depended on the time from which the submarine started watching. At 1, 3, and 4 seconds the dolphin was -7, -17, and -28 meters respectively. Find a, b, c.

a)

-2, 3, -8

b)

2, 3, 8

c)

-2, -3, -8

d)

2, -3, 8

156.

Are you ready for the test on SYSTEMS?

a)

yes

b)

no

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