Answers KISD SS-3350B-Algebra I B-CRUnit Test

Unit Test Answers

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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).

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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)

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k

g(x) = (x + 8)2 + k

g(x) = (x – h)2 – 5

g(x) = (x – h)2 – 15

What is the range of the function f(x) = −(x + 3)2 + 7?

all real numbers less than or equal to 7

all real numbers greater than or equal to 7

all real numbers less than or equal to −3

all real numbers greater than or equal to −3

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Option

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y = 5(x – 6)2 + 5

y = 5(x – 7)(x – 5)

y = 5(x + 6)2 – 5

y = 5(x – 7)(x + 5)

All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.

f(x) = –4(x – 50)(x – 250)

f(x) = (x – 50)(x – 250)

f(x) = 28(x + 50)(x + 250)

f(x) = (x + 50)(x + 250)

Consider the graph of the quadratic function y = x2 – 3x – 40.

–8 and 20

–40 and –8

–8 and 8

–40 and 20

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

g(x) = (x − 7)2 − 3

g(x) = (x + 7)2 − 3

g(x) = (x − 3)2 − 7

g(x) = (x − 3)2 + 7

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) = (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

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)

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

−8

−4

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

112

121

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

f(x) = −3(x − 8)(x + 2)

f(x) = −3(x + 8)(x − 2)

f(x) = 3(x − 8)(x + 2)

f(x) = 3(x + 8)(x − 2)

The curve produced by the water coming from a fountain is sketched on the graph.

f(x) = (x – 2)2 + 3

f(x) = –(x – 2)2 + 3

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

f(x) = –(x + 2)2 + 3

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.The domain is {x| x ≥ 3}.The range is {y| y ≥ –1}.The function decreases over the interval (–∞, 3).The axis of symmetry is x = –1.The vertex is (3, –1).

The domain is {x| x ≥ 3}.

The range is {y| y ≥ –1}.

The function decreases over the interval (–∞, 3).

The axis of symmetry is x = –1.

The vertex is (3, –1).

Consider the quadratic function y = (x – 2)2 + 5. Which statements are true about the function and its graph? Select two options.The vertex of the function is (–2, 5).There are no real roots for the function.The graph of the function opens down.The graph contains the point (2, 5).The graph intersects the x-axis at one unique point.

The vertex of the function is (–2, 5).

There are no real roots for the function.

The graph of the function opens down.

The graph contains the point (2, 5).

The graph intersects the x-axis at one unique point.

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

Robin’s graph is a reflection of Giselle’s graph over the x-axis.

Robin’s graph is a reflection of Giselle’s graph over the y-axis.

Robin’s graph is a translation of Giselle’s graph 1 unit down.

Robin’s graph is a translation of Giselle’s graph 1 unit left.

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

She incorrectly determined the factors for the beginning function.

She incorrectly determined the a value.

She incorrectly transformed the equation to standard form.

She incorrectly determined the x-coordinate of the vertex.

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.

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.

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

f(x) = (x2 + 2x)2 + 3

f(x) = (x + 1)2 + 2

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

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.

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