Answer:
y = - 0.5 | x - 5 | + 2
Step-by-step explanation:
g(x) = |x|
[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |
[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2
[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2
[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2
y = - 0.5 | x - 5 | + 2
