Answer :

The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]

What is parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.

In the given figure,

The curve represent the parabola

Since the curve is passing through

(0,9) from the Y axis and touches x axis at infinity

Now we can use hit and trial method to find the exact equation

So we plot the figure one by one

Hence,

we get the correct equation,

y = [tex](1/2)^{x - 3} + 1[/tex]

To learn more about parabola visit:

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Answer:

y = (1/2)^x-3 + 1

Step-by-step explanation: