In the following graph of F(x) = -(2/3)(x-3)2 + 2 is the preimage of a transformation of G(x)which is the image. What is the mapping statement for the function G(x)?

Question:

In the following graph of is the preimage of a transformation of G(x)which is the image. What is the mapping statement for the function G(x)?

The image of the transformed graph is attached below:

The function g(x) is

Explanation:

The function is

Let us determine the transformed equation of the function from the graph.

From the graph, we can see that the function g(x) is shifted 1 unit downwards and shifted 4 units to the left.

Thus, the function g(x) can be written as

Simplifying, we have,

Hence, the function g(x) is

positive

step-by-step explanation:

the quadrant is facing upwards

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!