4. Consider the function f(x)=x^2-4 Part A: Write a function that shifts f(x) left 5 units.

Part B: Write a function that shifts f(x) right 8units.

Part C: Write a function that horizontally stretches f(x) by 1/4 units.

Part D: Write a function that horizontally compresses f(x) by 6 units.

HELP PL

Using translation concepts, it is found that the modified functions are:

A.

B.

C.

D.

In this problem, the function is given by:

Item a:

For a shift left of 5 units, we have , hence:

Item b:

For a shift right of 8 units, we have , hence:

Item c:

For a horizontal stretch by a factor of 1/4, we find , hence:

Item d:

For a vertical compression by a factor of 1/6, we find , hence:

You can learn more about translation concepts at link

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .