A composition of transformations maps pre-image EFGH to final image E"F"G"H". Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is reflected across the line of reflection c to form trapezoid E double-prime F double-prime G double-prime H double-prime. The first transformation for this composition is [________], and the second transformation is a reflection across line c. a 180° rotation about point G a 180° rotation about point H a translation down and to the left a translation up and to the right

A composition of transformations maps pre-image EFGH to final image EFGH. Trapezoid E F G H is

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Ответ:

rimcdaniel2

05.11.2021

Mathematics

g(x) = (54,-2)

Step-by-step explanation:

Given

y = f(x)

(x,y) = (18,5)

Required

Determine g(x)

Where

g(x) = f(3x) - 7

First, we have:

(x,y) = (18,5) --- for f(x)

Multiply x by 3

(3x,y) = (3*18,5)

(3x,y) = (54,5)

This implies that:

f(3x) = (54,5)

Solving further:

f(3x) -7= (54,5-7)

f(3x) -7= (54,-2)

So:

g(x) = f(3x) -7

g(x) = (54,-2)

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