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Worksheets

Graphing Quadratics

Total questions: 20

Worksheet time: 34mins

Name
Class
Date
1.
What is the vertex of this quadratic equation?  
y = 2(x - 2)2  +  5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
2.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
3.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
4.
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
5.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
6.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
7.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
8.
a)

y < x2 - 4x + 4

b)

y ≤ x2 + 4x + 4

c)

y ≥ x2 + 4x + 4

d)

y > x2 - 4x + 4

9.
a)

y ≥ -x2 - 8x -15

b)

y < -x2 + 8x - 15

c)

y ≤ x2 - 8x + 17

d)

y ≤ -x2 + 8x - 15

10.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
11.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
12.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
13.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
14.
Determine the vertex of the parabola:
y = 5x- 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
15.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
16.
Which inequality is shown?
a)
y<2(x-6)2-5
b)
y<2(x+6)2-5
c)
y>2(x+6)2-5
d)
y>2(x-6)2-5
17.
Which inequality is shown?
a)
y < -5(x-2)(x-4)
b)
y < -5(x+2)(x+4)
c)
y > -5(x-2)(x-4)
d)
y > -5(x+2)(x+4)
18.
Which graph is shown?
a)
y<-2x2-8x-12
b)
y>-2x2-8x-12
c)
y≤-2x2-8x-12
d)
y≥-2x2-8x-12
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D