Answers NJ-Algebra I CRUnit Test

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Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is increasing on the interval x > –3.

The graph is positive only on the intervals where x < –7 and wherex > 1.

The graph is negative on the interval x < –4.

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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)

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step.Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x)Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

Which function has a vertex on the y-axis?

f(x) = (x – 2)2

f(x) = x(x + 2)

f(x) = (x – 2)(x + 2)

f(x) = (x + 1)(x – 2)

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

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

The graph of f(x) = x2 is shifted right 4 units.

The graph of f(x) = x2 is shifted down 36 units.

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

What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

x = −5

x = −3

x = 3

x = 5

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

The domain of the function is all real numbers less than or equal to −2.

The domain of the function is all real numbers less than or equal to 9.

The range of the function is all real numbers less than or equal to −2.

The range of the function is all real numbers less than or equal to 9.

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

The axis of symmetry is the line x = –6.

The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.

The vertex of the graph is at (6, –20).

The parabola has a maximum.

The value of k, when the equation is written in vertex form, is –200.

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.The axis of symmetry is the line x = 6.The vertex of the graph is at (–6, –11).The parabola has a minimum.The parabola opens down.The value of h, when the equation is written in vertex form, is positive.

The axis of symmetry is the line x = 6.

The vertex of the graph is at (–6, –11).

The parabola has a minimum.

The parabola opens down.

The value of h, when the equation is written in vertex form, is positive.

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

112

121

Which is the graph of the function f(x) = x2 + 2x + 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 (1, 2), and goes through (2, 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).

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).

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

The vertex is the maximum value.

The axis of symmetry is x = .

The domain is all real numbers.

The range is all real numbers.

The function is decreasing from (−∞, 6.75).

The graph of the function f(x) = (x + 2)(x − 4) is shown.

all real values of x where x < −2

all real values of x where −2 < x < 4

all real values of x where 1 < x < 4

all real values of x where x < 0

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

right 5, down 23

left 5, down 23

right 5, up 27

left 5, up 27

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

−8

−4

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