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
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)=

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.
$$g(x)=52+(x-23)^2$$