Question

Stretch or compress each linear function. Let g(x) be a vertical stretch of f(x)=2x-2 by a factor of 5. Write the rule for g(x).

Answer 1

If g(x) = cf(x), then g(x) is a vertical stretch of f(x) by a factor of c. It means that the rule for g(x) is:

g(x) = 5*f(x)

Replacing f(x) by 2x - 2, we get:

g(x) = 5*(2x - 2)

g(x) = 5*2x - 5*2

g(x) = 10x - 10

Answer: g(x) = 10x - 10