Question

The graph of an absolute value function opens up and has a vertex of (0, -3).

Answer 1

Answer:

The domain: all real numbers;

The range:  $y\ge -3.$

Step-by-step explanation:

The graph of the function y=|x| opens up and has a vertex at (0,0). If the graph of an absolute value function opens up and has a vertex of (0, -3), then the function has an expression

y=|x|-3 (see attached diagram).

The domain of the parent function y=|x| is the set of all real numbers, then the domain of the function y=|x|-3 is the set of all real numbers too.

The range of the parent function y=|x| is $y\ge 0,$ then the range of the function y=|x|-3 is $y\ge -3.$