Answers NJ-Algebra I CRUnit Test

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What is the axis of symmetry for the function f(x)=7−4x+x2?

x = –3

x = –2

x = 2

x = 3

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The function f(x) = −(x + 5)(x + 1) is shown.

all real numbers less than or equal to 4

all real numbers less than or equal to −3

all real numbers greater than or equal to 4

all real numbers greater than or equal to −3

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 3 units.

The graph of f(x) = x2 is shifted up 30 units.

The graph of f(x) = x2 is reflected over the x-axis.

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

(0,8)

(0,–8)

(9,0)

(–9,0)

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

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).

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).

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).

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).

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 8 units.

The graph of f(x) = x2 is shifted down 44 units.

The graph of f(x) = x2 is reflected over the x-axis.

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

left 1 unit, up 5 units

right 1 unit, up 5 units

left 2 units, up 2 units

right 2 units, up 2 units

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

(−4, 18)

(0, -2)

(-8, -2)

(−4, −18)

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).

The domain is all real numbers. The range is {y|y < 16}.

The domain is all real numbers. The range is {y|y ≤ 16}.

The domain is {x|–5 < x < 3}. The range is {y|y < 16}.

The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

Which function in vertex form is equivalent to f(x) = x2 + x +1?

f(x) = +

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

f(x) = 5(x + 4) – 80

f(x) = 5(x + 8) – 80

f(x) = 5(x + 4)2 – 80

f(x) = 5(x + 8)2 – 80

An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First row: 1 + x squared, 2 + x. Second row: 1 +x, 2 +. Third row: 1 +x, 1 +.

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.

The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

The domain is all real numbers less than or equal to 4, and the range is all real numbers.

What are the x-intercepts of the function f(x) = –x2 – x + 2?

(–2, 0) and (1, 0)

(2, 0) and (1, 0)

(–2, 0) and (-1, 0)

(0, -2) and (0, 1)

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

f(x) = 4(x + 6)2 + 10

f(x) = 4(x + 6)2 – 26

f(x) = 4(x + 6)2 – 134

f(x) = 4(x + 6)2 + 154

The graph of the function f(x) = (x +2)(x + 6) is shown below.

The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

The domain is all real numbers greater than or equal to –4, and the range is all real numbers.

The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.

The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.

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).

(–6.5, ∞)

(–5, ∞)

(–∞, –5)

(–∞, –6.5)

The graph of which function has an axis of symmetry at x = 3?

f(x) = x2 + 3x + 1

f(x) = x2 – 3x – 3

f(x) = x2 + 6x + 3

f(x) = x2 – 6x – 1

What value for c will make the expression a perfect square trinomial? x2 – 7x + c

negative StartFraction 49 Over 4 EndFraction

negative seven-halves

seven-halves

StartFraction 49 Over 4 EndFraction

On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 2), has a vertex at (1.5, 10), and goes through (5, negative 2).

(–∞, 1.5)

(–∞, 10.25)

(1.5, ∞)

(10.25, ∞)

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.

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.

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

f(x) = (x + 3)2 + 3

f(x) = (x + 3)2 − 6

f(x) = (x + 6)2 + 3

f(x) = (x + 6)2 − 6

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

(0, –5)

(0, –3)

(0, 3)

(0, 5)

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

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).

On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).

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).

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).

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

(0,6)

(0,–6)

(6,0)

(–6,0)

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