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WorksheetsQuadratics Wk 1 Review
Total questions: 35
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
What is the vertex of
f(x) = 2(x - 5)2 + 12
f(x) = 2(x - 5)2 + 12
a)
(-5, -12)
b)
(5,-12)
c)
(5, 12)
d)
(-5, 12)
2.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
3.
What is the intercept form of the quadratic shown?
a)
f(x) = -x(x - 4)
b)
f(x) = x(x - 4)
c)
f(x) = -x(x + 4)
d)
f(x) = x(x + 4)
4.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
5.
If the quadratic has a positive 'a' coefficient, what direction does the parabola open?
a)
Up
b)
Down
6.
What is the y-intercept of
f(x)=2x2 + 4x + 6
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
7.
What is the shape created by a football thrown in the air
a)
U
b)
parabola
c)
quadratic
d)
function
8.
What are the x-intercepts of
f(x)=(x - 10)(x + 10)
f(x)=(x - 10)(x + 10)
a)
10
b)
(10 , 0) and (-10 , 0)
c)
(0, -10) and (0, 10)
d)
0
9.
All Parabolas contain a vertex, when it opens up, this point is called a what?
a)
Maximum
b)
Minimum
10.
True or False:
The domain of a quadratic is all real numbers.
The domain of a quadratic is all real numbers.
a)
False
b)
True
11.
Is this function wider, narrower, or the same as y=x2?
f(x) = - .4(x-7)2 - 9
f(x) = - .4(x-7)2 - 9
a)
Wider
b)
Narrower
c)
Same
12.
What is the equation for the axis of symmetry of
f(x)= (x +1)2 + 5
f(x)= (x +1)2 + 5
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
13.
What are the zeros for the function
f(x) = (x + 7)(x + 5)
f(x) = (x + 7)(x + 5)
a)
(7 , 0) and (5 , 0)
b)
(0 , 7) and (0 , 5)
c)
(-7 , 0) and (-5 , 0)
d)
(7 , 0) and (5 , 0)
14.
What is the vertex form of this quadratic?
a)
f(x) = -(x - 2)2 + 0
b)
f(x) = (x - 2)2 + 0
c)
f(x) = -(x + 2)2 + 0
d)
f(x) = (x + 2)2 + 0
15.
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
16.
Which quadratic equation consists of the vertex? What is the vertex represented by in said equation?
a)
Vertex form, it is represented by the (x-h) portion
b)
Vertex form, it is represented by the h and k values
c)
Intercept form, it is represented by the (x-r1) portion
d)
Standard form, it is represented by the a and b values
17.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
The solution, root, x-intercept, and zero of a problem 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
18.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
19.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
20.
What causes the graph of y = x2 to open downward?
a)
multiply the x2 by a fraction
b)
multiply the x2 by a decimal
c)
multiply the x2 by a negative number
d)
multiply the x2 by a number greater than 1
21.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
22.
y=2x2-6x+1 is in what form?
a)
Vertex
b)
Intercept
c)
Standard
d)
Focus/ directrix
23.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
24.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
25.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
26.
Solve the equation by factoring:
x2-6x+8=0
x2-6x+8=0
a)
2, 4
b)
-2, -4
c)
-2, 4
d)
2, -4
27.
How many roots will the equation:
-4x2 - 12x + 4= 1 have?
-4x2 - 12x + 4= 1 have?
a)
1
b)
2
c)
3
d)
none
28.
WORD PROBLEM #5 A classroom has an area of 3x2 + 7x + 2. If the length of the classroom is (3x + 1), what is the width of the classroom?
a)
3x + 1
b)
x + 2
c)
3x + 7
d)
7x + 2
29.
Does f(x) = -3 (x+2)2+ 5 have a maximum or minimum?
a)
Maximum
b)
Minimum
30.
What is the vertex of the function f(x) = a(x-h)2+ k?
a)
(x, y)
b)
(h, k)
c)
(-h, k)
d)
(h, -k)
31.
Solve by factoring.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
32.
Identify the vertex. y = 2(x - 1)2 + 6
a)
(-1, 6)
b)
(1, 6)
c)
(-1, -6)
d)
(2, 6)
33.
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
34.
Solve the quadratic equation by factoring
a² + 10a + 21 = 0
a² + 10a + 21 = 0
a)
√21 and -√21
b)
-3 , -7
c)
3 , 7
d)
28 , -7
35.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
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