The parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 5 units to the right and 1 unit down. write the equation of the new function in vertex form

A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.

For function f(x), stretching by a factor of 2, then translation 5 right and -1 up will give the function

... g(x) = 2f(x-5) -1

When f(x) = x², this becomes ...

... g(x) = 2(x -5)² -1

... g(x) = 2x² -20x +49

step-by-step explanation:

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