Answer: Option d.
Step-by-step explanation:
1. The parent function of an absolute value function is shown below:
f(x)=|x| (This is the simplest form). Because from this function we can make transformations that allow us to obtain the function f(x) = 4|x| -3
2. If you take the parent function and make y= f(x)-3/4, then you have:
y= f(x)-3/4=|x|-3/4 (The function is shifted down 3/4 units on the y-axis).
3. Then you if you make y= 4(f(x)-3/4), as following, you obtain:
y = 4(f(x)-3/4))=4|x|-3 (The function is reflected in the y-axis).
4. That is how you obtain the final function. [tex]f(x) = 4|x|-\frac{3}{4}[/tex]
