SOLUTION: Could you please help me with this transformation? Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=

Question 1191589: Could you please help me with this transformation?

Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=x^2. Write a rule for g.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Let the graph of be a vertical stretch by a factor of , followed by a translation of units up from the graph of

g(x) = a(x -h)^2 + k
horizontal stretch (away from -axis) when
horizontal shrink (toward -axis) when
vertical stretch (away from -axis) when
vertical shrink (toward -axis) when
shifts left when
shifts right when
shifts down when
shifts up when

so, you are given: and

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