Name ________________________________________ Date __________________ Class __________________
UNIT
8
Quadratic Functions
Unit Test: A
5. What are the solutions to the
equation ( x 1)( x 5) 0 ?
1. Which is a quadratic equation?
A y
x
9
B y
2 x 15
2
C y
x
D y
x3
________________________________________
2x 7
6. The zeros of a quadratic function are
( 1, 0) and (3, 0) . What is a possible
vertex of the function?
x2
2. What is the axis of symmetry of the
parabola graphed below?
A (1, 0)
C (2, 0)
B (1,
D (2,
2)
2)
7. What is the vertex of the graph of
y ( x 3)2 5?
________________________________________
8. Which is the function y
standard form?
A y
B
x
4
2
x 2 2x 3
x
0
D y
x 2 2x 3
D
9. What is the axis of symmetry of the graph
of f ( x ) x 2 4 x 5?
________________________________________
10. What is the domain of the function
y x 2 1?
A g ( x ) is f ( x ) translated up 5 units.
False
B g ( x ) is f ( x ) translated right 5 units.
A all real numbers
C
x 1
B y
D
x 1
1
11. Which functions have the same axis of
symmetry?
False
y
(x 1)2 ; y
x 2 2x 3
B y
(x 2)2 ; y
x 2 2x 3
C y
(x 1)2 2 ; y
x2
D y
x 2 2x 3 ; y
x 2 2x 3
A
C g ( x ) is the same shape as f ( x ) .
False
D g ( x ) is narrower than f ( x ) .
True
x 2 2x 3
3) in
3
C y
4. Given f ( x ) x 2 and g ( x ) ( x 5)2 ,
choose True or False for each statement.
True
B y
2x
2
________________________________________
True
x2
C y
3. What are the x-intercepts of
y 4 x 2 16 ?
True
A y
( x 1)( x
False
x 3
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
174
Name ________________________________________ Date __________________ Class __________________
UNIT
8
Quadratic Functions
Unit Test: A
12. a. Graph y
x2
14. What are the zeros of the function
f ( x ) x( x 1) 3( x 1)?
4 below.
________________________________________
15. Write an equation of a quadratic function
that has x-intercepts 2 and 5. How many
such functions are possible?
________________________________________
16. y
b. What is the vertex of the parabola?
3( x
4)2
5
a. Find the axis of symmetry.
____________________________________
____________________________________
c. Write an equation for the axis of
symmetry.
b. Find the vertex.
____________________________________
____________________________________
17. The point (1, 2) is on the parabola
y ax2. What is the value of a?
d. Find the maximum or minimum value
of the parabola.
________________________________________
____________________________________
18. A shark jumps out of water. The function
h(t)
16t 2 18t models the height, in
feet, of the shark above water after t
seconds.
13. The height of a ball in feet is modeled
by f(x)
16x2 80x, which is shown
below, where x is the time in seconds
after it is hit.
a. How long is the shark out of water?
____________________________________
b. What is the maximum height of the
shark above the water?
____________________________________
19. What is the range of the function
y 2(x 1)2 3?
a. How long is the ball in the air?
____________________________________
________________________________________
b. Find and interpret the vertex of the
graph.
____________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
175