Respuesta :
Answer:
[tex]f(x)=3|x-2|-1[/tex]
Step-by-step explanation:
Identify the function that has a vertex of (2,-1) and is stretched vertically by a factor of 3.
The option are absolute function, So the parent function is y=|x|
Vertex form of absolute function is
[tex]y=|x-h|+ k[/tex] where (h,k) is the vertex
vertex of (2,-1) h=2, k =-1
the function becomes
[tex]f(x)=|x-2|-1[/tex]
function is stretched vertically by a factor of 3
when f(x) is vertically stretched by a factor of 'a'.We multiply the factor with f(x)
[tex]f(x)=3|x-2|-1[/tex]
