contestada

What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=|x|:
a) compress horizontally by a factor of 2
b) shift right 1 unit
c) shift up 3 units

Respuesta :

MrRoyal

The expression of function g(x) is [tex]|\frac {x - 1}2| + 3[/tex]

How to determine the expression?

The function is given as:

[tex]f(x) = |x|[/tex]

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

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

So, we have:

[tex]f(x) = |\frac x2|[/tex]

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

f"(x) = f(x + 1)

So, we have:

[tex]f'(x) = |\frac {x - 1}2|[/tex]

When the function is shifted up by 3 units, the rule is:

g(x) = f"(x) + 3

So, we have:

[tex]g(x) = |\frac {x - 1}2| + 3[/tex]

Hence, the expression of function g(x) is [tex]|\frac {x - 1}2| + 3[/tex]

Read more about function transformation at:

https://brainly.com/question/13810353

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