Create a new function in the form y=a(x−h)2+k by performing the following transformations on f(x)=x2 Give the coordinates of the vertex for the new parabola. h(x) is f (x) shifted right 3 units, stretched by a factor of 9, and shifted up by 7 units. h(x)=? Edit Coordinates of the vertex for the new parabola are: x=? y=?

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likvau · Accepted Answer

h(x) is f(x) shifted 3 units left. So, h(x)=f(x+3) Then stretched by a factor of 2. So h(x)=2f(x+3) Reflected accross x axis. So, h(x)=−2f(x+3) Then shifted up 7. h(x)=−2f(x+3)+7=−2(x+3)2+7 Answer: h(x)=−2(x+3)2+7 We compare h(x) with a(x−h)2+k. So h=−3 and k=7. Vertex=(h,k)=(−3,7) Answer:Vertex=(−3,7) h(x)=−2(x+3)2+7

Create a new function in the form y = a(x- h)^2 + k by performing the following transformations on f (x) = x^2

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