Math  /  Algebra

Question6/16
How did we transform from the parent function? g(x)=1/5(x1)2+7g(x)=-1 / 5(x-1)^{2}+7 vertical shrink by 1/51 / 5, left reflection over xx-axis, 1, up 7 vertical stretch by 1/51 / 5. left1, up 7 reflection over XX-axis, right reflection over xx-axis, 7. down 1 vertical shrink by 1/51 / 5, right
1, up 7

Studdy Solution
The transformations from the parent function f(x)=x2f(x) = x^2 to g(x)=15(x1)2+7g(x) = -\frac{1}{5}(x-1)^2 + 7 are: reflection over the x-axis, vertical shrink by a factor of 15\frac{1}{5}, horizontal shift 1 unit to the right, and vertical shift 7 units up.

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