Question

What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=x2:

Answer 1

The expression of function g(x) is $(\frac x2 - 1)^2$

How to determine the expression?

The function is given as:

$f(x) = x^2$

When the function is shifted right by 1 unit, the rule is:

f'(x) = f(x - 1)

So, we have:

$f(x) = (x - 1)^2$

When the function is compressed horizontally by a factor of 2, the rule is:

f'(x) = f(x/2)

So, we have:

$g(x) = (\frac x2 - 1)^2$

Hence, the expression of function g(x) is $(\frac x2 - 1)^2$

Read more about function transformation at:

brainly.com/question/13810353

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