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Algebra 1

9.9.5 Practice

Algebra 19.9.5 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

  1. Which of the following points is the vertex of the quadratic function f ( x ) = x 2 + 8 x + 22 ?
  1. ( 4 , 6 )
  2. ( − 4 , 6 )
  3. ( 0 , 22 )
  4. ( 8 , 22 )

    For questions 2 – 4, use the function f ( x ) = ( x − 4 ) ( x + 2 ) .


  1. Write the function in standard form.
  1. Write the function from question 2 in vertex form.
  1. Identify the vertex of the quadratic function f ( x ) = ( x − 1 ) 2 − 9 .
  1. ( − 9 , − 1 )
  2. ( − 1 , 9 )
  3. ( 1 , 9 )
  4. ( 1 , − 9 )

For questions 5 - 6, write an equation in vertex form of the quadratic function that has a vertex at ( − 4 , 1 ) and also goes through the point ( 6 , − 1 ) .

  1. Find the value of a for vertex form in simplest form.
  1. Write the equation in vertex form. Hint: Be sure to use y = to denote your equation.

For questions 7 and 8, write an equation in vertex form of the quadratic function that has a vertex at ( − 2 , − 3 ) and also goes through the point ( 4 , 2 ) .

  1. Find the value of a for vertex form in simplest form.
  1. Write the equation in vertex form. Hint: Be sure to use y = to denote your equation.
For questions 9 - 10, use the function f ( x ) = x 2 that is shifted to create the function g ( x ) that has a vertex at ( − 4 , 6 )
  1. Write g ( x ) in vertex form.
  1. Write g ( x ) in standard form.
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