Answers DHS Algebra 2 VLinear Programming

Linear Programming — Unit test Answers

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Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to verify your prediction.)

-shaped; y-intercept (0, 6); symmetrical with respect to the y-axis

-shaped; y-intercept (6, 0); assymmetrical with respect to the y-axis

-shaped; y-intercept (0, 6); assymmetrical with respect to the y-axis

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Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 1 7 0 up (0,0) Table B a b c up or down y-intercept 7 1 0 up (0,0) Table C a b c up or down y-intercept 7 1 0 down (0,0) Table D a b c up or down y-intercept 1 7 0 down (0,0)

Table A

Table B

Table C

Table D

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

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.

Which is the equation of the axis of symmetry of the graph of y = –3(x – 6)2 + 5?

x = –6

x = –5

x = 5

x = 6

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.

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).

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 3 5 9 up (0,3) Table B a b c up or down y-intercept 2 5 3 up (0,3) Table C a b c up or down y-intercept 9 5 3 up (0,3) Table D a b c up or down y-intercept 9 5 3 up (0,0)

Table A

Table B

Table C

Table D

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

Solve the following equation algebraically:

3.46

-6, 6

-3.86, 3.86

-3.46, 3.46

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)

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 1 -6 0 up (0,0) Table B a b c up or down y-intercept 1 0 0 up (0,-6) Table C a b c up or down y-intercept 1 6 0 up (0,0) Table D a b c up or down y-intercept 1 -6 0 down (0,0)

Table A

Table B

Table C

Table D

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).

Which function is a quadratic function?

f(x) = 2x2

g(x) = 5x3

k(x) = –x

b(x) = –9x4

The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = –20c2 + 320c + 5,120. What is the maximum profit the company can make from the product?

$540,000

$640,000

$800,000

$896,000

Graph the function. y = x2 + 2x + 1 a. c. b. Please select the best answer from the choices provided

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 2 4 0 up (0,0) Table B a b c up or down y-intercept 7 4 1 up (0,0) Table C a b c up or down y-intercept 7 4 0 up (0,0) Table D a b c up or down y-intercept 2 1 0 up (0,0)

Table A

Table B

Table C

Table D

Describe the graph of and compare it with the graph of .

Answer not available

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Linear Programming — Unit test Answers

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