6.4-6.6 algebra 2

A in y=a(x-h)² + k

Stretch/Compression

H in y=a(x-h)² + k

-H right

+H left

K in y=a(x-h)² + k

+ K up

-K down

+a(+x)² (when a and x are positive) domain and range

D: [opp. H, infinity)

R: [k, infinity)

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-a(+x)² (when a is negative and x is positive) domain and range

D: [opp. H, infinity)

R: (- infinity, k]

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+a(-x)² (when a is positive and x is negative) domain and range

D: (- infinity, opp. H]

R: [k, infinity)

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-a(-x)² (when both a and x are negative) domain and range

D: (- infinity, opp. H]

R: (- infinity, k]

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Square root parent function x’s

0,1,4

Square root parent function y’s

0,1,2

Cube root parent function x’s

-8,-1,0,1,8

Cube root parent function y’s

-2,-1,0,1,2