Linear Programming — Unit test Answers

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, 6); symmetrical with respect to the y-axis b. -shaped; y-intercept (0, 6); symmetrical with respect to the y-axis c. -shaped; y-intercept (6, 0); assymmetrical with respect to the y-axis d. -shaped; y-intercept (0, 6); assymmetrical with respect to the y-axis Please select the best answer from the choices provided

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) 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

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

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

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

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).

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

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

Solve the following equation algebraically: a. 3.46 b. -6, 6 c. -3.86, 3.86 d. -3.46, 3.46 Please select the best answer from the choices provided

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

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

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)?

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