need help with precalculus

Question

For each equation, state the parent function and list all transformations.

6    .𝑦 = 3|𝑥 + 5| − 7 

7  . 𝑦 = -x³/2 + 4

8   .𝑦 = 5 −√ 2x/3

9    . 𝑦 = (−4𝑥)² − 3

Answer 1

Set of Vertical and horizontal transformations may be applied in no particular order

#6 |x| Vertical: stretch by a factor of 3, then shift down by 7

Horizontal: shift left by 5

#7 x³ Vertical: reflect over X-axis, then compress down by a factor of 2, then shift up by 4

#8 √x Vertical: reflect over X-axis, then compress down by a factor of 2, then shift up by 5

Horizontal: compress by a factor of 2

#9 x² Vertical: stretch by a facor of 16, then shft down by 3