Write the equation in the final transformed graph

Question

f(x) = |x|; shrink vertically by a factor of 1/9 , shift to the left 6 units, and shift upward 8 units.

Answer 1

y = ­a |x – h| + k

"a" represents shrink/stretch

a < 1 will shrink

a > 1 will stretch

"h" represents x, shift left/right

|x – h|  --> set x - h equal to zero, then solve for x for x-intercept

x-h = 0

A left shift is created with positive values of h

Example: |x – 4| --> x-4 = 0 --> x = 4 this is a shift right

"k" represents y, up/down

y = ­(1/9) |x + 6| + 8

The best way to learn and understand these types of equations is to draw and compare similar examples.