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Quadratic Equations Answers

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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.

Question illustration
A
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
B
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
C
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
D
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
3

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 0 4 down (0,-2) Table B a b c up or down y-intercept 4 0 -2 down (0,4) Table C a b c up or down y-intercept -4 0 -2 down (0,-2) Table D a b c up or down y-intercept -2 0 4 down (0,4)

Question illustration
A
Table A
B
Table B
C
Table C
D
Table D
5

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.)

Question illustration
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
7

Graph the function. y = a. c. b. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
8

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 0 0 7 up (0, 7) Table B a b c up or down y-intercept 7 0 0 up (0, 0) Table C a b c up or down y-intercept 7 0 0 up (0, 7) Table D a b c up or down y-intercept 0 7 0 up (0, 0)

Question illustration
A
Table A
B
Table B
C
Table C
D
Table D
9

Graph the function. y = -6x2 - 12x -1 a. c. b. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
11

In the following function defined by an equation in the form , identify the values of a, b, and c. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
12

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.)

Question illustration
A
-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis
B
-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
C
-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
D
-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis
13

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.

Question illustration
A
both open upward; h is wider than f
B
both open downward; h is narrower than f
C
h opens downward; f opens upward; h is wider than f
D
h opens upward; f opens downward; h is narrower than f

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