Question

Given f(x)=x^2, after performing the following transformations: shift upward 52 units and shift 23 units to the right, write the new function g(x)=

Performing transformations
ANSWERED
asked 2021-01-31
Given \(f(x)=x^2\), after performing the following transformations: shift upward 52 units and shift 23 units to the right, write the new function
g(x)=

Expert Answers (1)

2021-02-01
The parent function is
\(f(x)=x^2\)
To find the new function g (x):
Applying Horizontal shift 23 units to the right as shown below,
\(f(x)=(x-23)^2\)
Applying vertical shift 52 units to the up as shown below,
\(f(x)= 52+(x-23)^2\)
Therefore, the parent function f(x)is transformed to another function.
\(g(x)=52+(x-23)^2\)
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