Question

How is the graph of g(x) = -x2-2 related to the graph of f(x)=x2?

The graph of gx) = -x2-2 is reflected across the y-axis and translated up 2 units.
The graph of g(x) = -x2–2 is reflected across the x-axis and translated up 2 units.
The graph of g(x) = -x2-2 is reflected across the y-axis and translated down 2 units.
The graph of g(x) = -x2-2 is reflected across the x-axis and translated down 2 units.

Answer 1

The graph of g(x) = -
`x^(2)`-2 is reflected across the x-axis and translated down 2 units.

Explanation:

- f(x) reflects the graph over the x-axis; f(-x) would reflect the graph over the y-axis

f(x) + k translates the graph up k units; f(x) - k translates the graph down k units