What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=x2:
a) Shift right 1 unit;
b) Compress horizontally by a factor of 2

Respuesta :

The expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]

How to determine the expression?

The function is given as:

[tex]f(x) = x^2[/tex]

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

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

So, we have:

[tex]f(x) = (x - 1)^2[/tex]

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

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

So, we have:

[tex]g(x) = (\frac x2 - 1)^2[/tex]

Hence, the expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]

Read more about function transformation at:

https://brainly.com/question/13810353

#SPJ1