AnswersAlgebra IUnit Test

Unit Test — Unit test Answers

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What is the y-intercept of the quadratic functionf(x) = (x – 6)(x – 2)?

A
(0,–6)
B
(0,12)
C
(–8,0)
D
(2,0)
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The graph of the function f(x) = (x + 2)(x + 6) is shown below.

Question illustration
A
The function is positive for all real values of x wherex > –4.
B
The function is negative for all real values of x where–6 < x < –2.
C
The function is positive for all real values of x wherex –3.
D
The function is negative for all real values of x wherex < –2.
23

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).

Question illustration
A
(–6.5, ∞)
B
(–5, ∞)
C
(–∞, –5)
D
(–∞, –6.5)
24

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true?

A
The x-coordinate of the vertex is greater than the y-coordinate.
B
The x-coordinate of the vertex is negative.
C
The y-coordinate of the vertex is greater than the y-intercept.
D
The y-coordinate of the vertex is positive.
25

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

A
The graph will always have zero x-intercepts.
B
The function will always have a minimum.
C
The y-intercept will always be the vertex.
D
The axis of symmetry will always be positive.

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