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

Step-by-step 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.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>