NAME ___________________ DATE _________ PERIOD _______
Honors Algebra Practice Test – Quadratics
Complete the Practice Test and turn it in on the day of your test (February 26, 2016).
This will count as a Quiz grade and 5 points on your test. No late work!
1.
What is the domain and range of the quadratic function graphed below?
Domain
Range
2.
The solutions to a quadratic function are (-11, 0) and (5, 0). Given this
information, which of the following could be the ordered pair for the vertex of
the parabola?
F
(-4, 4)
G
(-3.5, -4)
H
(-3, -8)
J
(-2.5, 2)
3.
What is the quadratic equation in vertex form of a parabola with a vertex
(-3, -2) and passes through the point (-4, 4)?
4.
What is the quadratic function represented by the zeroes (-1, 0) and (3, 0)
shown on the graph below?
5.
Which of the following statements are
true about the graph below?
I. The vertex is (2,6)
II. The axis of symmetry is x = 6
III. The graph has two real solutions.
IV. The vertex is a maximum.
A
I and III only
B
I, III, & IV only
C
I and IV only
D
All statements are true.
6. On the grid below, how does the graph of y = 3x2 + 1 compare to the graph of y
=
1 2
x – 3?
2
Transformations
7. What are the x-intercepts and vertex of the following quadratic equation?
x2 + 24 = 14x
8. What are the zeros of the following quadratic equation?
49x2 = 121
9. How many solutions does the following quadratic have?
4x2 = 20x – 25
A. 1
C. infinitely many solutions
B. 2
D. no real solutions
10. What are the exact solutions of the following quadratic equation?
(quadratic formula)
x2 + 5x – 3 = 0
11.
How does the graph of y = 2x2 + 5 compare to the parent function?
12.
The table below represents data from a quadratic function.
x
–6
-4
y
-42 -24
-2
0
6
6
What are the roots of the quadratic function?
2
4
-10 -42
#13 is a gridded response.
Peyton was standing at the goal line and punted a football into the air. The height of
the football was a function of the number of seconds after it was punted. This
relationship is represented by the parabolic graph shown below.
13.
For approximately how many seconds was the height of the football at least 40
meters?
14. Solve the quadratic equation using any method.
15. Solve using the Square Root Method.
6x2 + 8x – 5 = 4
16x² - 169 = 0
16. Solve using the Completing the Square Method.
x² + 12x + 36 = 0
17. Solve using the Completing the Square Method
x² - 6x = 13
18. Solve using the Factoring Method
x² + 14x – 51 = 0
19. Solve using the Factoring Method
x2 – 18x = -72
20.
4x² – 11x + 7 = 5
Solve using the Quadratic Formula.
21. Solve using the Quadratic Formula.
3x² – 8x – 4 = 0
22.
Using the discriminant, find the number of roots of the quadratic equation
below?
3x2 + 9x + 8 = 2x + 3
23. Alan is standing on a hill that is 80 feet high. He throws a baseball upward with
an initial velocity of 64 feet per second. The height of the ball, h(t) in terms of
the time, t since the ball was thrown is h(t) = -16t2 + 64t + 80
A) Find the time that the ball reaches the maximum height.
B) What is the maximum height?
C) Find the time when the ball hits the ground.