Question

Which of the following functions matches this graph?

y = −2|x| + 4 y = −2|x| − 4 y = 2|x| − 4 y = 2|x| + 4

Answer 1

C) y = 2 lxl - 4

Explanation:

The general form of an absolute value function:

f(x) = a l x - h l + k, where "a" represents vertical stretches, and whether the open up or down.

If a is positive, it open up word.

h and k how far the graph shifts horizontally and vertically.

Here the given graph open up word. Therefore, a is positive.

h = 0 and k = -4 shifts down.

Therefore, the given graph y = 2lxl -4

The answer is C) y = 2 lxl - 4

Hope you will understand the concept.

Thank you.