Question

Write the absolute value equation given the transformations

Answer 1

Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

$1^{st}$ step - shifts right 5 units: g(x + 5) = | x - 5 |

$2^{nd}$ step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

$3^{rd}$ step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

$4^{th}$ step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2