Name:______Date:______Period:_____

ALGEBRA 1 – Intro To Quadratics Test Review

(A.9D)I can identify the characteristics of the quadratic function from a graph, including axis of symmetry, vertex, y and x-intercepts and maximum or minimum.
  1. What is the vertex of the quadratic function f(x) =?
A / (0, 2) / C / (0, 4)
B / (2, 0) / D / (4, 0)
/
  1. What is the vertex of the quadratic function f(x) =?
A / (0, 3) / C / (0, 3)
B / (3, 0) / D / (3, 0)
  1. Two points on the graph of a quadratic function are shown on the grid below

What is the equation of the axis of symmetry
of the graph of the function?
A / x = 4 / C / x = 3
B / x = 4 / D / x = 3
/
  1. Two points on the graph of a quadratic function are shown on the grid below

What is the equation of the axis of symmetry
of the graph of the function?
A / x = 1 / C / x = 6
B / x = 1 / D / x = 6
(A.2A)I can identify the linear and quadratic parent functions.
  1. The set of ordered pairs below represents some points on the graph of function f. What is the parent function of f?
{(2, 4), (1, 2), (0, 2), (4, 10), (2, 0), (3, 10)}
A / y = / C / y = 2x
B / y = x2 / D / y = x
/
  1. The set of ordered pairs below represents some points on the graph of function f. What is the parent function of f?
{(1, –6), (3, 30), (2, 0), (0, –12), (4, 12)}
A / y = / C / y = 2x
B / y = x2 / D / y = x
(A.9D, A.10A)I can identify the characteristics of the quadratic function from a graph,
including axis of symmetry, vertex, y and x-intercepts and maximum or minimum.
  1. The graph of a quadratic function is shown below

Which statement about this graph is not true?
A The graph has a y-intercept at (0, 0)
B The graph has an axis of symmetry at x = 3
C The graph has an x-intercept at (6, 0)
D The graph has a maximum point at (3, 3) /
  1. The graph of a quadratic function is shown below

Which statement about this graph is not true?
A The graph has a y-intercept at (0, 9)
B The graph has an x-intercept at (3, 0)
C The graph has an axis of symmetry at x = 4
D The graph has a minimum point at (3, 0)
(A.9A) I can identify the reasonable domainand range of a situation modeled as a quadratic function.
  1. f(x) = 8,100 x2 models the number of bees in a hive over a period of months. The number of bees is declining. What is a reasonable domain and range for f(x)?
A / x = all real
y < 8,100 / C / 90 < x < 90
y8,100
B / 0x90
0y8,100 / D / x > 0
0 < y < 8,100
/
  1. f(x) = 1,600 x2 models the path of a skydiver before he opens his parachute. What is a reasonable domain and range for f(x)?
A / 0 < x < 40
0 < y < 1,600 / C / x = all real
y < 1,600
B / 0 < x < 1,600 0 < y < 40 / D / 40 < x < 40
y < 1,600
(A.2B) I can identify the reasonable domainand range of a situation modeled as a quadratic function.
  1. The graph below shows the path of a sub.

What is the range of this function?
A / 0 y 80 / C / 0 y–300
B / 0 y 80 / D / 0 y–300
/
  1. The graph below shows a soccer ball’s path.

What is the range of this function?
A / 0 y 10 / C / 0 y 8
B / 0 y 10 / D / 0 y 8
(A.10A) I can find a value for x given the value for f(x) for a quadratic function on a graph or table.
  1. The function y = x2 +4x –5 is graphed below

What are the values of x when x2 +4x –5= –5
A / x = 0 and x = –4 / C / x = 1 and x = –3
B / x = –5 and x = 1 / D / x = 0 and x = 6
/
  1. The function y = x2 + 6x +9 is graphed below

What are the values of x when x2 + 6x + 9 = 4
A / x = –3 / C / x = 1 and x = 5
B / x = 8 / D / x = –1 and x = –5
(A.10B) I can identify the solutions/roots/zeroes of a quadratic function.
x / f(x)
—8 / 15
—7 / 11.25
—6 / 8
—5 / 5.25
—4 / 3
—3 / 1.25
—2 / 0
—1 / .75
0 / 1
1 / .75
  1. A table of values for the quadratic function f is shown.
If 2 is one solution to f(x) = 0, what is the value of the other solution?
Record your answer on the line below.
______/ x / f(x)
—12 / 55
—11 / 40
—10 / 27
—9 / 16
—8 / 7
—7 / 0
—6 / –5
—5 / –8
4 / –9
3 / –8
  1. A table of values for the quadratic function f is shown.
If –1 is one solution to f(x) = 0, what is the value of the other solution?
Record your answer on the line below.
______
  1. Which of the graphs below represent an equation with roots of x = 2 and x = 4.
A
/ C

B
/ D

/
  1. Which of the graphs below represent an equation with roots of x = 2 and x = 2.
A
/ C

B
/ D

(A.9B)I can predict the changes to a graph when I change the a part of y = ax2 + c
  1. The graph of y = is shown below.

If the coefficient of is changed from to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function?
A The x-intercepts of the new graph will be different
than the x-intercepts of the original graph.
B The new graph will open in the opposite
direction as the original graph.
C The vertex of the new graph will be different
from the vertex of the original graph.
D The new graphwill be wider or narrower than
the original graph. /
  1. The graph of y = 4 is shown below.

If the coefficient of is changed from 4 to to create a new function, how will the graph of the new function compare with the graph of the original function?
A The new graphwill be wider than the original
graph.
B The new graphwill be narrowerthan the
original graph.
C The new graph will open in the opposite
direction as the original graph.
D The vertex of the new graph will be different
from the vertex of the original graph.
  1. How does the graph of y = differ from the graph of y =?
A The graph of y = is wider.
B The graph of y = is narrower.
C The vertex of the graph of y = is 7 units
higher.
D The vertex of the graph of y = is 7 units
lower. /
  1. How does the graph of y = differ from the graph of y =?
A The vertex of the graph of y = is 3 units
higher.
B The vertex of the graph of y = is 3 units
lower.
C The graph of y = is wider.
D The graph of y = is narrower.
(A.9C) I can predict the changes to a graph when I change the cpart of y = ax2 + c
  1. How does the graph of y = 4 differ from the graph of y = 3?
A The vertex of the graph of y = 4 is
7 units below the graph of y = 3.
B The vertex of the graph of y = 4 is
7 units above the graph of y = 3.
C The vertex of the graph of y = 4 is
7 units to the left of the graph of y = 3.
D The vertex of the graph of y = 4 is
7 units to the right of the graph of y = 3. /
  1. How does the graph of y = 1 differ from the graph of y = 5?
A The vertex of the graph of y = 1 is
4 units to the right of the graph of y = 5.
B The vertex of the graph of y = 1 is
4 units to the left of the graph of y = 5.
C The vertex of the graph of y = 1 is
4 units above the graph of y = 5.
D The vertex of the graph of y = 1 is
4 units below the graph of y = 5.
  1. Which graph shows a function y = c
when c ?
A / C

B
/ D

/
  1. Which graph shows a function y = c
when c?
A / C

B
/ D

ALGEBRA 1 – Intro To Quadratics Test Review

# / TEKS / My Answer / Correct Answer /  or 
1 / (A.9D) / B
2 / D
3 / (A.9D) / A
4 / C
5 / (A.2A) / B
6 / D
7 / (A.9D) / D
8 / C
9 / (A.9A) / B
10 / A
11 / (A.2B) / C
12 / D
13 / (A.10A) / A
14 / D
15 / (A.10A) / –2
16 / –7
17 / (A.10B) / C
18 / D
19 / (A.9B) / D
20 / A
21 / (A.9B) / B
22 / C
23 / (A.9C) / A
24 / D
25 / (A.9C) / C
26 / A

Algebra 1 • Intro to Quadratics Test Review • Page 1