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Write the equation of the graph y=

Write the equation of the graph y=-example-1
User Zudwa
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Answer:

y = 6^x -3

Explanation:

The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).

The shifted parent function will look like ...

y = a·b^x +c

where c is the horizontal asymptote. Using the two points we found, we have ...

-2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)

1 = a . . . . . . . . . . add 3 and simplify

Then using (x, y) = (1, 3), we have ...

3 = b^1 -3

6 = b . . . . . . . . . add 3 and simplify

So, the equation is ...

y = 6^x -3

User Shany
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