Check the solution to "Given f(x)=x2, after performing the following transformations: shift..."

Kyran Hudson

Answered question

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)=

faldduE

Skilled2021-02-01Added 109 answers

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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