Question

The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?

Both h and k must be positive.
Both h and k must be negative.
h must be positive and k must be negative.
h must be negative and k must be positive.

Answer 1

h must be negative and k must be positive.

Reason: the vertex of g(x)=|x−h|+k is at (h,k). The graph shows the vertex left of the y-axis (h<0) and above the x-axis (k>0).