If you vertically stretch the absolute value parent function, f(x) = x1, by a
factor of 3, which of these is the equation of the new function?

A. g(x) = |x+3|
B. g(x) = |x-3|
C. g(x) = 3|x|
D. g(x) = 1/3 |x|

answer:

I believe the answer is A.

Step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)