Unit Test — Unit test Answers

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Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.The vertex form of the function is f(x) = (x – 2)2 + 2.The vertex of the function is (–3, –13).The axis of symmetry for the function is x = 3.The graph increases over the interval (–3, ).The function does not cross the x-axis.

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A
The vertex form of the function is f(x) = (x – 2)2 + 2.
B
The vertex of the function is (–3, –13).
C
The axis of symmetry for the function is x = 3.
D
The graph increases over the interval (–3, ).
Option D
E
The function does not cross the x-axis.
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Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

A
f(x) = (x + 3)2 + 3
B
f(x) = (x + 3)2 − 6
C
f(x) = (x + 6)2 + 3
D
f(x) = (x + 6)2 − 6
23

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

A
(0, –5)
B
(0, –3)
C
(0, 3)
D
(0, 5)
24

The graph of which function has a y-intercept of 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).
Option D
25

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

A
(0,6)
B
(0,–6)
C
(6,0)
D
(–6,0)

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Unit Test — Unit test Answers — NJ-Algebra I CR