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Quadratics 1

Total questions: 26

Worksheet time: 27mins

Name
Class
Date
1.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

2.
Identify a, b, and c in: x2−6x+14
a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

3.

Identify a, b and c in the quadratic equation: 2x2−3x−5=02x^2-3x-5=0  

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

4.
Identify the 'b' value: y = 16x2 -8x -24
a)

16

b)

-8

c)

8

d)

-24

5.

What is the "c" value in the equation

4x2 = 76 ?

a)

4

b)

76

c)

0

d)

-76

6.
What are the zeros?
a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

7.
Which of the following equations matches standard form of a quadratic?
a)

ax + by = c

b)

y = a(x - h)2 + k

c)

y = ax2 + bx + c

d)

y = mx + b

8.
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
9.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
10.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
11.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)

2

b)

-2

c)

1

d)

-1

12.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

13.
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

14.
The axis of symmetry line passes through which point?
a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

15.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
16.

What is the vertex?

a)

(-2,0)

b)

(0,0)

c)

(0,-4)

d)

(2,0)

17.

Select the answer that has a, b, and c correctly labeled:

y=−x2+2x−9y=-x^2+2x-9  

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

18.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

19.

Which direction will this parabola open?

y=2x2+8x−16y=2x^2+8x-16  

a)

upwards

b)

downwards

20.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
21.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
22.
What is the axis of symmetry of:y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
23.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
24.

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

a)

16

b)

-8

c)

8

d)

-24

25.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
26.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1