Question

The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)?

g(x) = (x + 7)2 + 5

g(x) = (x – 7)2 + 5

g(x) = (x + 5)2 + 7

g(x) = (x – 5)2 + 7

Answer 1

b

Explanation:

Answer 2

The function f(x)=x²
The vertex of the f(x) is at (0,0)

The vertex of the g(x) is at (0+7;0+5)=(7;5)

x(p)=7, y(q)=5

The vertex form of a quadratic equation is y = a(x -p)² + q, where (p, q) are the x- and y-coordinates of the vertex:


`y=a(x-p)^2+q`


`a=1`

The answer:
`y=(x-7)^2+5`

:)