Question

Please help!! Will mark BRAINLIEST!!

Find an equation for the graph sketched below:

Answer 1

The equation for the graph sketched below is $y=-3 \cdot (-\frac{1}{3} )^x$

The given graph is an exponential graph and the standard exponential graph is expressed as $y=ab^x$

a is the y-intercept of the graph

(x, y) is any point on the graph.

Given the following from the graph;

a = -3

(x, y) = (1, 1)

Substitute the point and the y-intercept into the formula to have

$1=-3\cdot b^1\\\b = -\frac{1}{3}$

Get the required exponential equation:

Recall that $y=ab^x$

$y=-3 \cdot (-\frac{1}{3} )^x$

Hence the equation for the graph sketched below is $y=-3 \cdot (-\frac{1}{3} )^x$

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