Question

Given f(x)=x2, after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function g(x)=

Performing transformations
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asked 2021-02-05

Given \(f(x)=x2\), after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function \(g(x)=\)

Answers (1)

2021-02-06

Given \(f(x)=x^2\)
Transformations
upward shift\(=58\) units
right shift\(=75\) units
when f(x) is shift upwards 58 then \(g(x)=f(x)+58\)
when f(x) is shifted right by 75 units
\(g(x)=f(x-75)+58\)
when f(x) is shifted upwards 58 units then
\(g(x)=f(x)+58\)
when f(x) is shift right by 75 units
\(g(x)=f(x-75)+58\)
\(g(x)=(x-75)^2+58\)
In simplified form
\(g(x)=x^2-150x+5625+58\)
\(g(x)=x^2-150x+5683\)

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