SOLUTION: Let f(x)=-3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right. What is the equation for g(x)?

Question 1099141: Let f(x)=-3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x)?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.

g(x) = 4*f(x-4) = 4*(-3(x-4)) = 4*(-3x + 12) = - 12x + 48.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

The vertical stretch means that every is
now going to to be 4 times bigger, so,

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If I subtract from , then every previous
must moves to the right ( get bigger )
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Here's a plot for original and 2 changes:

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