Question

I need help graphing this I’ve been stuck in this question for a minute.

Answer 1

Given data

`G(s)=x^2`

Subject: Find the equation of the parabola after the change.

We know the graph of the parabola.

Ifrom the given graph it can be seen that is is shifted right side.

So the equation for the given graph,

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

When we shift the parabola right hand side, the equation is given as,

`y=(x-k)^2+h---------(1)`

The graph of y = (x-k)^2+h is the resulting of shifting the graph of y = x^2.

here, k is the unit to the righ hand and h is units up.

From the given graph we can observe that the y = x^2 graph is shifting or translated in the right hand side and it is alos shifted up.

We can compare the given equation with equation (1).

`\begin{gathered} k=2 \\ h=2 \end{gathered}`

Therefore, the correct option is (B).