Unit Test — Unit test Answers

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Given the function f(x) = −5x2 − x + 20, find f(3).

A
−28
B
−13
C
62
D
64
42
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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

Question illustration
A
g(x) = (x + 5)2 + 2
B
g(x) = (x + 2)2 + 5
C
g(x) = (x – 2)2 + 5
D
g(x) = (x – 5)2 + 2
43

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).

Question illustration
A
The domain is all real numbers. The range is {y|y < 16}.
B
The domain is all real numbers. The range is {y|y ≤ 16}.
C
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
D
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
44

Which is the graph of f(x) = x2 – 2x + 3?

A
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Option D
45

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

Question illustration
A
A = 5, B = 3
B
A = 4, B = 0
C
A = 4, B = 3
D
A = 5, B = 0
46

The zeros of a parabola are –4 and 2, and (6, 10) is a point on the graph. Which equation can be solved to determine the value of a in the equation of the parabola?

A
6 = a(10 – 4)(10 + 2)
B
6 = a(10 + 4)(10 – 2)
C
10 = a(6 – 4)(6 + 2)
D
10 = a(6 + 4)(6 – 2)
47

What is the y-intercept of the quadratic functionf(x) = (x – 8)(x + 3)?

A
(8,0)
B
(0,3)
C
(0,–24)
D
(–5,0)
48

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in vertex form, f(x)=a(x−h)2+k, is shown.−70=a(0−6)2+2

A
−6
B
−2
C
2
D
6
49

The function f(x) = (x − 4)(x − 2) is shown.

Question illustration
A
all real numbers less than or equal to 3
B
all real numbers less than or equal to −1
C
all real numbers greater than or equal to 3
D
all real numbers greater than or equal to −1
50

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).

Question illustration
A
(–6, 0), (2,0)
B
(–2, –16), (0, –12)
C
(–6, 0), (–2, –16), (2, 0)
D
(0, –12), (–6, 0), (2, 0)
51

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

Question illustration
A
−18
B
−9
C
9
D
18

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