If f(x)=-3(x-1)^2+5. What is the vertex of g(x) if g(x)=f(x+5)-8?

Question

Please help me fast

Answer 1

vertex is at (-4,-3)

Answer 2

f(x) = -3(x-1)² + 5

 

g(x) = f(x+5) - 8

 

To find g(x) replace x in f(x) with x+5, then subtract 8:

 

g(x) = f(x+5)-8 = -3(x+5-1)² + 5 - 8

g(x) = -3(x+4)² - 3

 

The vertex is located at (-4, 3)

Answer 3

Vertex of f(x) is (1, 5).  To get the vertex of g(x), move the vertex of f(x) 5 units to the left and 8 units down.