Use this description to write the quadratic function in vertex form

Question

 

Use this description to write the quadratic function in vertex form:
The parent function f(x)=x^2 is vertically stretched by a factor of 3 and translated 8 units right and 1 unit down.

 

 

 

 

 

 

 

I NEED HELP

Answer 1

f(x) = x^2

stretch vertically by 3

f(x) =3x^2

move 8 right

f(x) = 3(x-8)^2

move down 1

f(x) = 3(x-8)^2 - 1 in vertex form

vertex is (8, -2)

(h,k) = vertex f(x) = 3(x-h)^2 + k with h=8, k=-1