Question

Which graph represents the function ƒ(x) = –|x| + 4?

Answer 1

Explanation:

Please include the answer choices. Thank you.

Start with y = |x|. Plot the vertex at (0, 0). Draw the line y = x in the first quadrant, not below y = 0, for positive x values. Draw the line y = -x in the second quadrant, not below y = 0, for negative x values.

This gives you a v-shaped graph with vertex at (0, 0).

Going back to the given problem:

Reflect the graph of y = |x| in the x-axis, so that the vertex is now (0, 0) and the v-shape opens down.

Finally, translate this resulting graph upward by four units.

Answer 2

I hope this helps for anyone else that needs it...

These are some of the coordinates:

x,y

2,2

3,1

4,0

5,1

6,2