Question

The graph of F(X), shown below, has the same shape as the graph of

G(x) = x2, but it is shifted up 1 unit. What is its equation?

Answer 1

Option B.
`F(x)=x^(2)+1`

Explanation:

we know that

`G(x)=x^(2)`

This is the equation of a vertical parabola open upward wit vertex at (0,0)

The rule of the translation of G(x) to F(x) is equal to

(x,y) ----> (x,y+1)

therefore

The vertex of the function f(x) is the point (0,1) and the equation is equal to

`F(x)=x^(2)+1`