Use transformations to sketch the graph of the function. s(x)=1 + 0.5^{x}

jernplate8

jernplate8

Answered question

2020-11-06

Use transformations to sketch the graph of the function. s(x)=1 + 0.5x

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2020-11-07Added 78 answers

Step 1
s(x)=1 + 0.5x=1 + (12)X=1 + 2x
Remember that: When we reflect the graph of y=f(x) in the y-axis, we get the graph for y=f(x)
We will start the graph of the standard function y=2x (represented by blue dashed curve)
Reflect the graph of y=2x in the y-axis, to get the graph for y=2x (represented by black solid curve)
image
Step 2
Remember that: When we shift the graph of y=f(x) by k units upwards, we get the graph for y=f(x) + k
Shift the graph of y=2x by 1 unit upwards, to get the graph for y=1 + 2x (represented by red solid curve).
The graph for y=2x is represented by black dashed curve.
image

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