Question

Which of the following describes how to translate the graph y = Ixl to obtain the graph of y = 1xl - 4?

4 units up
4 units left
4 units right
4 units down

Answer 1

Answer: 4 units down

Explanation:

When we have the function f(x) = y.

for a positive and real number A, the translation f(x - A) = y will translate our graph by A units to the right, if A is negative, then the graph will be translated to the left.

Now if we have y = f(x) + A, the translation will be of A units up if A is positive and A units down if A is negative.

In this case we have:

y = f(x) = IxI

and the translation is:

y = IxI - 4 = f(x) + (-4)

so A = -4

this means that we have a translation of 4 units down.