Answers FL-1200710-Mathematics for College Algebra ALinear Programming

Linear Programming — Unit test Answers

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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)

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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 is a quadratic function?

y – 3x2 = 3(x2 + 5) + 1

y2 – 7x = 2(x2 + 6) + 7

y – 2x2 = 6(x3 + 5) – 4

y – 5x = 4(x + 5) + 9

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

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On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and crosses the x-axis back into quadrant 1.

f(x) = (x – 8)2 + 6

f(x) = (x + 8)2 + 6

f(x) = (x + 8)2 – 6

f(x) = (x – 8)2 – 6

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 -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) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided

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

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.) a. -shaped; y-intercept (0, 1); symmetrical with respect to the y-axis b. -shaped; y-intercept (0, 1); symmetrical with respect to the y-axis c. -shaped; y-intercept (1, 0); assymmetrical with respect to the y-axis d. -shaped; y-intercept (1, 0); assymmetrical with respect to the y-axis Please select the best answer from the choices provided

Which function has an axis of symmetry of x = −2?

f(x) = (x − 1)2 + 2

f(x) = (x + 1)2 − 2

f(x) = (x − 2)2 − 1

f(x) = (x + 2)2 − 1

Which graph represents the function f(x) = –x2 + 5?

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

On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9).

On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9).

On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).

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).

g(x) = (x + 5)2 + 2

g(x) = (x + 2)2 + 5

g(x) = (x – 2)2 + 5

g(x) = (x – 5)2 + 2

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

(−4, 18)

(0, -2)

(-8, -2)

(−4, −18)

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 function is a quadratic function?

a(x) = –2x3 + 2x – 6

b(x) = 5x3 + 8x2 + 3

c(x) = –8x2 + 3x – 5

d(x) = 6x4 + 2x – 3

A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 + 26t +12. What is the initial height of the ball?

–16 ft

–12 ft

12 ft

22 ft

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

(0, –5)

(0, –3)

(0, 3)

(0, 5)

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).

(–6, 0), (2,0)

(–2, –16), (0, –12)

(–6, 0), (–2, –16), (2, 0)

(0, –12), (–6, 0), (2, 0)

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?

15.21 yd

19.5 yd

38.94 yd

45.63 yd

Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B Please select the best answer from the choices provided

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Linear Programming — Unit test Answers

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