grade 9 worksheet on parabolas
TRANSCRIPT
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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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