Question

The graphs below have the same shape. What is the equation of the blue graph?

Answer 1

let
y=g(x)
we put value of x=-3 in different equation given above the original function should give 1 output(from the graph)
it is only (C) which gives 1.

Answer 2

Option: C is the correct answer.

The equation of the blue graph i.e. function G(x) is:

C.
`G(x)=(x+3)^2+1`

Explanation:

We are given a parent function F(x) as:

`F(x)=x^2`

Now after looking at the graph of the transformed function G(x) we see that the graph of G(x) is obtained by shifting the graph of F(x) 3 units to the left and 1 units upward.

Hence, the equation of the transformed function G(x) is given by:

`G(x)=(x+3)^2+1`