Question

Stretch or compress each linear function. Let g(x) be a vertical compression of f(x)=8x+6 by a factor of 1/4. Write the rule for g(x).

Answer 1

we have

f(x)=8x+6

we know that

The rule for a vertical compresion of f(x) is equal to

(x,y) -------> (x, ay)

where a is the factor

so

(x,f(x)) -------> (x,1/4f(x))

thet means

g(x)=1/4{8x+6}

g(x)=2x+1.5