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Quadratic Equations Answers

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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 -9 -7 0 down (0,0) Table B a b c up or down y-intercept 2 7 0 down (0,0) Table C a b c up or down y-intercept 9 7 0 down (0,0) Table D a b c up or down y-intercept -9 7 0 down (0,0)

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Table A
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Table B
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Table C
D
Table D
2
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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.

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f opens upward with a y-intercept at (2, 0); h opens downward with a y-intercept at (-2, 0)
B
f opens downward with a y-intercept at (0, -2); h opens upward with a y-intercept at (0, 2)
C
f opens downward with a y-intercept at (0, 2); h opens upward with a y-intercept at (0, -2)
D
f opens upward with a y-intercept at (0, 2); h opens downward with a y-intercept at (0, -2)
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 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)

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Table A
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Table B
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Table C
D
Table D
4

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.)

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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
5

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

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Table A
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Table B
C
Table C
D
Table D
6

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)

Question illustration
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Table A
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Table B
C
Table C
D
Table D
7

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)

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Table A
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Table B
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Table C
D
Table D
8

Which is the graph of ? a. b. c. d. Please select the best answer from the choices provided

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A
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B
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C
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D
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Which is the graph a. b. c. d. Please select the best answer from the choices provided

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A
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B
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C
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D
10

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

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A
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B
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C

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