Answer:
The domain: all real numbers;
The range: 
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 
then the range of the function y=|x|-3 is
Since point Q is the midpoint of GH, that means that GH-GQ=HQ=GQ (since Q is the midpoint). Plugging them in, we get 5x-5-(2x+3)=3x-8=GQ=HQ. Since Q is the midpoint, that means that 3x-8=2x+3=GQ=HQ. Subtracting 2x from both sides as well as adding 8, we get that x=11 and 2(11)+3=25=GQ by plugging x into 2x+3
YES!!! 2.78778777 is an irrational number because it has endless numbers, and a irrational number cant be put as a fraction but rational numbers can be put as a fractio!!
The student made the mistake in Step 2.
It should be m∠o + m∠p = 180 (Supplementary angles)
If this is corrected, then, since m∠m + m∠n + m∠o = 180 from Step 1,
we have,
m∠m + m∠n + m∠o = m∠o + m∠p which is Step 3.
Cancelling m∠o both sides, we get,
m∠m + m∠n = m∠p which is Step 4.
y = -2x + 1
y = -2x -3
none cuz they're both -2x
