Question

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.

Answer 1

We start off with: f(x) = |x|

c > 0 means move up

y = f(x) + c

2 units up

After: g(x) = |x| + 2

c > 1 means y-direction stretch

y = cf(x)

4 unit stretch

After: g(x) = 4|x| + 2

Best of Luck!

Answer 2

g(x) = 4|x| +2

Explanation:

f(x) = |x|

y = f(x) + C C > 0 moves it up

g(x) = |x| +2 moves it up 2 units

y = Cf(x) C > 1 stretches it in the y-direction

g(x) = 4|x| +2 stretch by 4