8/19/2019 Grade 9 worksheet on parabolas

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Part 1

A. Convert from standard form to vertex form

1.  =  + 16 + 71 

2.  = − − 14 −59 

3. 

( + 4) = ( − 7)

 

4.  162 + 731 = − −9 

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Solutions

A

1. 

= ( + 8)

 + 7 

2.  = −( + 7) − 10 3.  = 2( − 7) − 4 4.

  = −9( + 9) − 2 B

1.  =  − 2 − 5 

2.  = 2 + 36 +170 3.  = + 

−  

4.  6 + 12 + + 13 = 0 

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Part 2: Properties of a quadratic function

Provide the following:

1.  Vertex

2.  Concavity

3.  line of symmetry

4.  domain and range

5.  x and y intercepts

6.  Zeroes

7.  graph

A. Vertex form

1.  = ( + 2) − 1 

2.  =  ( + 4) − 3 

3.  = 2( + 5) − 3 

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B. Standard from

1.  =  − 2 − 3 

2.  =  + 2 − 1 

3.  =  + 4 + 3 

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Part 3: Getting the equation from the graph

A. From graph using vertex form

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B. From concavity and zeroes

1.  Concavity: up zeroes: -8 multiplicity of 2

2. 

Concavity: up zeroes: -4, 0

3.  Concavity: down zeroes: 5, 10

4.  Concavity: down zeroes: 7 multiplicity of 2

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Solution

A

See graphs

B

1.  =  − 16 + 64 2.  = ( + 2) − 4 3.

 

= − + 15 −50 4.  = − + 14 −49 

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Part 4: Inequalities

Solutions

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