Question

If the function h(x) goes

through the point (−5, 7),
then the function −h(x)
must go through what
point?

Answer 1

(-5,-7)

................

Answer 2

Answer: (-5, -7)

Multiply the y coordinate by -1. Keep the x coordinate the same. The point (-5,7) reflects over the x axis to land on (-5,-7)

The reason why we multiply by -1 is because
`\text{y} = \text{h}(\text{x})`, so
`-\text{y} = -\text{h}(\text{x})`