What is the equation of the function shown in the graph, given the equation of the parent function is f (x) =1.5x

4.

Step-by-step explanation:

We are given that a graph  of the function in the figure.

The equation of parent function

We have to find the equation of graph of the function shown in the figure.

The given graph cuts the y- axis at point (0,-3).

The given graph passing through the point (2,-1.75).

1.

Substitute x=0

The graph cut the  y- axis at the point (0,-1).

Therefore, it is not  an equation given graph.

2.

Substitute x=0

The graph cut the  y- axis at the point (0,-2).

Therefore, it is not  an equation given graph.

3.

Substitute x=0

The graph cut the y- axis at the point (0,3).

Therefore, it is not  an equation given graph.

4.

Substitute x=0

The graph cut the y- axis at  the point (0,-3).

Substitute x=2

The graph passing through the point (2,-1.75).

Hence, it is an equation of given graph.

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step-by-step explanation:

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