Unit Test Answers

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1
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What are the solutions to m2 – 9 = 0?

m
m = –9 and m = 0
m
m = –3 and m = 3
m
m = –3
m
m = 9
3

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

Question illustration
x
x = –6 or x =
Option x
x
x = –4 or x =
Option x
x
x = or x = 6
Option x
x
x = or x = 4
Option x
4

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

(
(−4, 0) and (9, 0)
(
(4, 0) and (−9, 0)
(
(−3, 0) and (12, 0)
(
(3, 0) and (−12, 0)
5

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A
g(x) = (x − 7)2 − 3
B
g(x) = (x + 7)2 − 3
C
g(x) = (x − 3)2 − 7
D
g(x) = (x − 3)2 + 7
7

Which function has real zeros at x = −10 and x = −6?

f
f(x) = x2 + 16x + 60
f
f(x) = x2 − 16x + 60
f
f(x) = x2 + 4x + 60
f
f(x) = x2 − 4x + 60
8

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Question illustration
A
The domain of the function is all real numbers less than or equal to −2.
B
The domain of the function is all real numbers less than or equal to 9.
C
The range of the function is all real numbers less than or equal to −2.
D
The range of the function is all real numbers less than or equal to 9.
11

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Question illustration
A
{–7, 1}
B
(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
C
(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
D
{1, 7}
12

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

A
isolating the constant 1
B
adding 4 to both sides of the equation
C
isolating the second term, –4x
D
adding 1 to both sides of the equation
13

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

R
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
R
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
R
Robin’s graph is a translation of Giselle’s graph 1 unit down.
R
Robin’s graph is a translation of Giselle’s graph 1 unit left.
15

three

Question illustration
T
The vertex is the maximum value.
T
The axis of symmetry is x = .
Option T
T
The domain is all real numbers.
T
The range is all real numbers.
T
The function is decreasing from (−∞, 6.75).

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