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Can anyone help me? Which function is graphed on the right?

Y=2^x+3-2
Y=2^x-3+2
Y=2^x-2+3
Y=2^x-2-3

Can anyone help me? Which function is graphed on the right? Y=2^x+3-2 Y=2^x-3+2 Y-example-1
User Arutaku
by
7.5k points

2 Answers

1 vote

Answer:

The answer is C

Explanation:

User Natan Rubinstein
by
8.2k points
2 votes

Answer:


y=2^(\left(x-2\right))+3

Explanation:

To solve this problem, we need to start with the parent function of the exponential function, which is
f(x)=a^x, where
a is the base. In our problem,
a=2, so our parent function here is
y=2^x. Then, we need to perform some transformations to our parent function. Thus:

1. Vertical shrink:

A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:


g(x)=cf(x)

where
c in this problem equals 0.25 because:


y=0.25(2^x) \\ \\ y=(1)/(4)(2^x) \\ \\ y=(2^x)/(2^2) \\ \\ y=2^((x-2))

2. Vertical shift:

The graph of the function
y=2^((x-2)) get a vertical shift given by:


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

So the graph is shifted 3 units up. So the result is the graph shown above.

User Cytofu
by
7.2k points

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