Answer:
1. x=2
2. x=1
3. Greater than
4. Greater than
Step-by-step explanation:
1. The axis of symmetry is x=2 because the numbers above and below x=2 are equal
2. The axis of symmetry is x=1 because that is where the graph can be cut in half symmetrically
3. The y intercept of g(x) is -6, the y intercept of f(x) is -5
so the y intercept of f is greater than the y-intercept of g
4. To get the average rate of change we divide the change in y by the change in x.
Average RoT for f(x):
[tex]\frac{-5-(-9)}{4-2}\\ =\frac{3}{2}[/tex]
The average RoT for g(x)
[tex]\frac{2-(-6)}{4-2}\\=\frac{8}{2}\\ =4[/tex]
4 is greater than 3/2 so the avg RoT for f is greater than g