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Algebra 1

7.11.6 Practice

Algebra 17.11.6 Practice

7.11.6 Practice

7.11.6 • Practice

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

  1. Select two true statements about the graph that represents y = 2 x ( x − 11 ) .
  1. Its x -intercepts are at ( − 2 , 0 ) and ( 11 , 0 ) .
  2. Its x -intercepts are at ( 0 , 0 ) and ( 11 , 0 ) .
  3. Its x -intercepts are at ( 2 , 0 ) and ( − 11 , 0 ) .
  4. It has only one x -intercept.
  5. The x -coordinate of its vertex is -4.5.
  6. The x -coordinate of its vertex is 11.
  7. The x -coordinate of its vertex is 4.5.
  8. The x -coordinate of its vertex is 5.5.
  1. Select two equations whose graphs have a vertex with x -coordinate 2.
  1. y = ( x − 2 ) ( x − 4 )
  2. y = ( x − 2 ) ( x + 2 )
  3. y = ( x − 1 ) ( x − 3 )
  4. y = x ( x + 4 )
  5. y = x ( x − 4 )
  1. Three different equations are given. Refer to these equations to complete questions a–f.
Equation x -intercept x -coordinate of the vertex

y = x ( x − 2 )

a. _____

b. _____

y = ( x − 4 ) ( x + 5 )

c. _____

d. _____

y = − 5 x ( 3 − x )

e. _____

f. _____
  1. What are the x -intercepts of the graph that represents y = x ( x − 2 ) ?
  1. ( 0 , 0 ) and ( − 2 , 0 )
  2. ( 0 , 0 ) and ( 0 , − 2 )
  3. ( 0 , 0 ) and ( 2 , 0 )
  4. ( 0 , 0 ) and ( 0 , 2 )
  1. What is the x -coordinate of the vertex of the graph that represents y = x ( x − 2 ) ?
  1. What are the x -intercepts of the graph that represents y = ( x − 4 ) ( x + 5 ) ?
  1. ( 0 , 5 ) and ( 0 , − 4 )
  2. ( 5 , 0 ) and ( − 4 , 0 )
  3. ( 0 , − 5 ) and ( 0 , 4 )
  4. ( − 5 , 0 ) and ( 4 , 0 )
  1. What is the x -coordinate of the vertex of the graph that represents y = ( x − 4 ) ( x + 5 ) ?
  1. What are the x -intercepts of the graph that represents y = − 5 x ( 3 − x ) ?
  1. ( 0 , 0 ) and ( 0 , 3 )
  2. ( 0 , 0 ) and ( 3 , 0 )
  3. ( 0 , 0 ) and ( − 3 , 0 )
  4. ( 0 , 0 ) and ( 0 , − 3 )
  1. What is the x -coordinate of the vertex of the graph that represents y = − 5 x ( 3 − x ) ?
  1. What is the equation of the axis of symmetry of y = ( x − 4 ) ( x + 5 ) ?
  1. Answer questions a–c about the function y = ( x − 2 ) ( x − 4 ) .
  1. What are the x -intercepts of the vertex of the graph y = ( x − 2 ) ( x − 4 ) .
  1. ( 0 , − 2 ) and ( 0 , − 4 )
  2. ( − 2 , 0 ) and ( − 4 , 0 )
  3. ( 0 , 2 ) and ( 0 , 4 )
  4. ( 2 , 0 ) and ( 4 , 0 )
  1. Is ( − 1 , 3 ) a point on the graph?
  1. Yes
  2. No
  1. Does the graph represent the equation y = ( x − 2 ) ( x − 4 ) ?

  1. Yes
  2. No
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