Question

Which function is represented by the graph?

f(x) = −|x − 3| + 4
f(x) = −|x + 3| + 4
f(x) = −|x − 4| + 3
f(x) = −|x + 4| + 3

Answer 1

All of the equations have a graph that is reflected over the x axis. So look at the maximum point/ the vertex of the graph.

1) has vertex (3,4)
2)has vertex (-3,4)
3)has vertex (4,3)
4)has vertex(-4,3)

The functions should look the same, the only difference is the vertex.