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Chapter 9: Q. 351 (page 965)

Matching the graph

Short Answer

Expert verified

f(x)=(x+4)2-4

Step by step solution

01

Step 1. Given information we have a parabolic graph opening upward, hence it is a transformation of f(x)=x2

Graph is a parabolic graph

02

Step 2. The vertex is h,k , hence the vertex from the graph is(-4,-4)

Vertex is(h,k)

03

Step 3. Putting the value in the equation f(x)=a(x-h)2+kf(x)=(x-(-4))2+(-4)f(x)=(x+4)2-4

Putting the values ofh,kin the equationf(x)=a(x-h)2+k

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