find the rule for g

Question

Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph f(x)=x^{2 Write a rule for g}

Answer 1

Hello there!

A vertical stretch is an indication that the function is being multiplied, while the translation downward indicates a subtraction symbol in the new equation. If it was translated upward, the graph would be + (3).

The new rule for g would be:

g(f(x)) = 2x² - 3

Hope this helps!