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Artist 52
11 days ago
9

Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been u

sed to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)
Mathematics
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On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
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Answer:

g(x)=6(3)^x

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It intersects the y-axis at the point (0,6) and goes through (1,2).

Function g(x) also approaches y=0 in quadrant 2, but increases in quadrant 1.

It passes through (-1,2) and crosses the y-axis at (0,6).

Reflection across y-axis:

The transformation rule is identified as

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Applying this rule, we derive

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

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for x=-1

g(-1)=6\times (\frac{1}{3})=2

for x=0

g(0)=6

Consequently,g(x)=6(3)^x holds true.

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