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Algebra 1

7.12.6 Practice

Algebra 17.12.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

  1. Choose the quadratic equation that is represented by the graph.

  1. f ( x ) = x 2 + 7
  2. f ( x ) = x 2
  3. f ( x ) = x 2 − 3
  4. f ( x ) = x 2 + 5
  1. Choose the quadratic equation that is represented by the graph.

  1. f ( x ) = x 2 + 7
  2. f ( x ) = x 2
  3. f ( x ) = x 2 − 3
  4. f ( x ) = x 2 + 5
  1. Choose the quadratic equation that is represented by the graph.

  1. f ( x ) = x 2 + 7
  2. f ( x ) = x 2
  3. f ( x ) = x 2 − 3
  4. f ( x ) = x 2 + 5
  1. Choose the quadratic equation that is represented by the graph.

  1. f ( x ) = x 2 + 7
  2. f ( x ) = x 2
  3. f ( x ) = x 2 − 3
  4. f ( x ) = x 2 + 5
  1. The following two equations are equivalent.

factored form f ( x ) = ( x + 2 ) ( x + 3 )  
standard form f ( x ) = x 2 + 5 x + 6  

  1. Which equation helps find the x -intercepts most efficiently?
  1. standard form
  2. factored form
  1. Which equation helps find the y -intercept most efficiently?
  1. standard form
  2. factored form
  1. There are three equations represented on this graph:

f ( x ) = x 2 (black graph, at the top, opening upward)
f ( x ) = x 2 − 4
f ( x ) = − x 2 + 5 ;

Use the graph to answer questions a and b.

  1. Which graph represents the equation f ( x ) = x 2 − 4 ?
  1. Blue graph (in the middle, opening upward)
  2. Green graph (at the bottom, opening downward)
  1. Which graph represents the equation f ( x ) = − x 2 + 5 ?
  1. Blue graph (in the middle, opening upward)
  2. Green graph (at the bottom, opening downward)
  1. Select two equations whose graphs have a positive y -intercept.
  1. f ( x ) = x 2 + 3 x − 2
  2. f ( x ) = x 2 − 10 x
  3. f ( x ) = ( x − 1 ) 2
  4. f ( x ) = 5 x 2 − 3 x − 5
  5. f ( x ) = ( x + 1 ) ( x + 2 )
  1. Which function represents the graph of f ( x ) = x 2 shifted 5 units to the right?
  1. f ( x ) = ( x − 5 ) 2
  2. f ( x ) = ( x + 5 ) 2
  3. f ( x ) = x 2 − 5
  4. f ( x ) = x 2 + 5
  1. Select three equations whose graphs open downward.
  1. f ( x ) = ( 1 − x ) 2
  2. f ( x ) = 1 − x 2
  3. f ( x ) = − ( x − 1 ) 2
  4. f ( x ) = − 1 + x 2
  5. f ( x ) = ( 1 − x ) ( x + 2 )
  1. Which curve is the narrowest?
  1. f ( x ) = ( 1 3 x ) 2
  2. f ( x ) = 1 3 x 2
  3. f ( x ) = ( 3 x ) 2
  4. f ( x ) = 3 x 2
  1. Which equation is represented by the graph?

  1. f ( x ) = − ( x + 4 ) 2 + 4
  2. f ( x ) = − ( x − 4 ) 2 + 4
  3. f ( x ) = ( x + 4 ) 2 + 4
  4. f ( x ) = ( x − 4 ) 2 + 4
  1. Which equation is represented by the graph?

Graph on coordinate plane. Horizontal axis by twos from negative 8 to 8. Vertical axis by twos from negative 4 to 8. Graph goes through point 0 comma 7.

  1. f ( x ) = ( x + 3 ) 2 + 2
  2. f ( x ) = ( x + 2 ) 2 + 3
  3. f ( x ) = ( x − 3 ) 2 + 2
  4. f ( x ) = ( x − 2 ) 2 + 3

For questions 13 - 14, use the following graph. 

  1. Which of the graphs has been horizontally stretched? 
  1. Graph d
  2. Graph c
  3. Graph a
  4. Graph b
  1. Which function most closely represents the equation for graph c?
  1. f ( x ) = ( 1 4 x ) 2
  2. f ( x ) = ( x + 2.5 ) 2
  3. f ( x ) = ( 4 x ) 2
  4. f ( x ) = ( x − 2.5 ) 2
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