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Practice

8.11.5 Practice

8.11.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4, identify a quadratic function in standard form, f ( x ) , with the given zeros.

  1. 1 and 9
  1. f ( x ) = x 2 − 10 x + 9
  2. f ( x ) = x 2 + 8 x + 9
  3. f ( x ) = x 2 − 8 x + 9
  4. f ( x ) = x 2 + 10 x + 9
  1. 5 and − 5
  1. f ( x ) = x 2 + 5
  2. f ( x ) = x 2 − 5
  3. f ( x ) = x 2 + 5 x − 5
  4. f ( x ) = x 2 − 5 x − 5
  1. − 7
  1. f ( x ) = x 2 − 14 x + 49
  2. f ( x ) = x 2 − 49
  3. f ( x ) = x 2 − 14 x − 49
  4. f ( x ) = x 2 + 14 x + 49
  1. − 3
  1. f ( x ) = x 2 − 9
  2. f ( x ) = x 2 + 6 x + 9
  3. f ( x ) = x 2 + 9
  4. f ( x ) = x 2 − 6 x + 9
  1. Examine the graph below to identify the zeros of the function. Then, write a quadratic function in standard form with the given zeros.
A PARABOLA THAT OPENS UP WITH \(x\)-intercepts OF NEGATIVE 5 AND 1.
  1. f ( x ) = x 2 + 6 x − 5
  2. f ( x ) = x 2 − 4 x − 5
  3. f ( x ) = x 2 − 6 x − 5
  4. f ( x ) = x 2 + 4 x − 5
  1. Examine the graph below to identify the zeros of the function. Then, write a quadratic function in standard form with the given zeros.

A PARABOLA THAT OPENS UP WITH \(x\)-intercepts OF 2 AND 4.

  1. f ( x ) = x 2 + 6 x + 8
  2. f ( x ) = x 2 + 2 x − 8
  3. f ( x ) = x 2 − 6 x + 8
  4. f ( x ) = x 2 − 2 x − 8
  1. Write the specific quadratic function, p ( x ) , in standard form, that has the zeros –8 and 3 and passes through the point ( 2 , − 20 ) .
  1. p ( x ) = − x 2 − 5 x − 6
  2. p ( x ) = − x 2 − 5 x − 24
  3. p ( x ) = 3 x 2 + 15 x − 72
  4. p ( x ) = 2 x 2 + 10 x − 48
  1. Write the specific quadratic function, g ( x ) , in standard form, that has the zero 2 and passes through the point ( 3 , − 3 ) .
  1. g ( x ) = − 3 x 2 + 12 x − 12
  2. g ( x ) = − 2 x 2 + 8 x − 8
  3. g ( x ) = 2 x 2 − 8 x + 3
  4. g ( x ) = x 2 − 4 x + 4
  1. Write the specific quadratic function, h ( x ) , in standard form, that has the zeros 3 and 5 and passes through the point ( 2 , 12 ) .
  1. h ( x ) = 3 x 2 − 24 x + 48
  2. h ( x ) = − x 2 + 8 x − 15
  3. h ( x ) = 4 x 2 − 32 x + 60
  4. h ( x ) = x 2 − 8 x + 15
  1. Write the specific quadratic function, w ( x ) , in standard form, that has the zeros 6 and − 7 and passes through the point ( 5 , 12 ) .
  1. w ( x ) = − x 2 − x + 42
  2. w ( x ) = − 2 x 2 − 2 x + 84
  3. w ( x ) = 2 x 2 + 2 x − 48
  4. w ( x ) = x 2 + x − 42