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irakobra [83]
3 years ago
10

The exponential function, f(x)=2^x, under goes two transformations to g(x)=1/3•2^x-7. How does the graph change select all that

apply

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Step-by-step explanation:

<em>TRANSFORMATIONS:</em>

Vertical shifts: f(x)\pm n      <em>Shifts up/down </em><em>n</em><em> units</em>

Horizontal shifts: f(x\pm n)    <em>Shifts left/right </em><em>n</em><em> units</em>

Reflection: -f(x) <em>  Reflection over x-axis</em>

Reflection: f(-x)  <em>Reflection over y-axis</em>

Dilation: f(nx)

<em>Dilation of x-coordinate </em><em>n</em><em> > 1 graph narrows; </em><em>n</em><em> < 1 graph widens</em>

Dilation: nf(x)

<em>Dilation of y-coordinate </em><em>n</em><em> > 1 graph narrows; </em><em>n</em><em> < 1 graph widens.</em>

<em>=============================================================</em>

We have:

f(x)=2^x

g(x)=\dfrac{1}{3}\cdot2^{x-7}=\dfrac{1}{3}f(x-7)

<em>Dilation</em><em> of y-coordinate (graph widens) and </em><em>Shifts</em><em> right 7 units.</em>

<em>look at the picture.</em>

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