Questions

For the first four problems, multiply the factors and express the function in the form shown below. State the letter of the correct answer.

1) f (x) = (x – 3)(x – 8)

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2) f(x) = 2(x + 2)(3x – 2)

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3) f(x)= x(x – 5)

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4) f(x) = (x – 4)(x + 4)

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For the next four problems, select T(true) or F(false).

5) True or False? This equation represents a quadratic function.

True

False

6) True or False? This equation represents a quadratic function.

True

False

7) True or False? This equation represents a quadratic function.

True

False

8) True or False? This equation represents a quadratic function.

True

False

For the next two problems, state whether the parabola opens up or down, and whether the y-coordinate of the vertex is the minimum value or the maximum value.

9) Does the parabola open up or down? Is the y-coordinate of the vertex a minimum value or a maximum value?

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10) Does the parabola open up or down? Is the y-coordinate of the vertex a minimum value or a maximum value?

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For the next four problems solve the equation, and then state the letter of the correct answer.

11) Solve the equation for “x”.

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12) Solve the equation for “x”.

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13) Solve the equation for “t”.

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14) Solve the equation for “r”.

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For the next two problems, find the missing side length in right triangle ABC. Assume that "a" and "b" are the legs of the right triangle and "c" is the hypotenuse. Give the answers to the nearest tenth, if necessary.

15) Find the missing length of side “c”. State the letter of the correct answer.

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16) What is the missing length of side “a”?

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17) Give an example of a quadratic that has a maximum value. Explain how you know it has a maximum value.

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