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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer: h

step-by-step explanation: