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Algebra 1 Unit 8 Lesson 2 Practice

Total questions: 23

Worksheet time: 2hrs 16mins

Name
Class
Date
1.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
2.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
3.
What is the green dot on the parabola called?
a)
vertex
b)
root
c)
dot
4.
The vertex of this graph is a
a)
maximum
b)
minumum
5.

Which variable, when negative, can cause the parabola to reflect across the x-axis (face downwards)?

a)
a
b)
h
c)
k
6.
What effects does "h" have on the parent function?
a)

Skinny/Wide

b)

Shift Up or Down

c)

Shift Left or Right

7.
What effects does "k" have on the parent function?
a)

Skinny/Wide

b)

Shift Up or Down

c)

Shift Left or Right

8.
Compared to the parent function, what effect does the 5 have in  f(x)=5(x+3)2-10 ?
a)

Makes the graph skinnier

b)

Makes the graph wider

9.
Compared to the parent function, what effect does the 1/5 have in  f(x)=1/5(x+3)2-10 ?
a)

Makes the graph skinnier

b)

Makes the graph wider

10.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4)
11.
If given the equation
y = 3(x - 5)2 + 4,
what is the vertex of the parabola?
a)
(5, 4)
b)
(-5, -4)
c)
(-5, 4)
d)
(5, -4)
12.

Given the equation for this parabola:
 y= -2(x-4)2-3,
does this parabola face upwards or downwards?

a)
Upwards
b)
Downwards
13.

Given the equation for this parabola:
 y= -2(x-4)2-3,
does this parabola have a maximum or minimum value?

a)
Maximum
b)
Minimum
14.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
15.
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
16.

Determine the vertex from the following equation: −3(x−4)2+1-3\left(x-4\right)^2+1  

a)

Vertex: (4,1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, -1)

d)

Vertex: (-4, 1)

17.

Determine the vertex from the following equation: −(x+1)2−1-\left(x+1\right)^2-1  

a)

Vertex: (1,-1)

b)

Vertex: (-1, 1)

c)

Vertex: (-1, -1)

d)

Vertex: (1, 1)

18.

Determine the vertex from the following equation: 12(x+4)2+1\frac{1}{2}\left(x+4\right)^2+1  

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

19.

What is the equation of this graph?

a)

f(x) = (x -5)2 + 1

b)

f(x) = (x - 1)2 - 5

c)

f(x) = (x + 1)2 - 5

d)

f(x) = (x + 5)2 +1

20.

Find the y-intercept of this graph?

a)

(-4,0)

b)

(0,-4)

c)

(4,0)

d)

(0,4)

21.

Which equations matches the graph above?

a)

h(x)= (x+1)2−4h\left(x\right)=\ \left(x+1\right)^2-4

b)

h(x)=−(x+1)2−4h\left(x\right)=-\left(x+1\right)^2-4

c)

h(x)=(x+4)2−1h\left(x\right)=\left(x+4\right)^2-1

d)

h(x)=−(x+4)2+1h\left(x\right)=-\left(x+4\right)^2+1

22.

f(x)=−(x−4)2+1f\left(x\right)=-\left(x-4\right)^2+1  

Choose the correct graph of the equation.

a)
b)
c)
d)
23.
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

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