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Given that f(x)=x^2 . In the space below, type a function that would shift f(x) right 2.5 units, down 7 units, vertically shrink the function by a factor of 2/5, and reflect is across the x-axis?

Given that fxx2 In the space below type a function that would shift fx right 25 units down 7 units vertically shrink the function by a factor of 25 and reflect class=

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sqdancefan
Translation by h right and k up: f(x-h)+k.
Vertically scale by k and reflect across the x-axis: -k·f(x).

After the translation, your function is
  f(x) = (x-2.5)² -7

After the scaling and reflection, your function is
  f(x) = (-2/5)((x -2.5)² -7)
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