Answer:
#1 same
#2 greather than
#3 less than
Step-by-step explanation:
Look at the pictures.
The functions f and g have the same axis of symmetry.
because the first coordinate of the vertex is the same
vertex of g: (-3, 7)
vertex of f: (-3, -10)
The y-intercept of f is greater than the y-intercept of g.
look at the picture
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
Because:
The formula of the average rate of change:
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
the average rate of change of f:
[tex](-6,\ 8),\ (-3,\ -10)\\\\\dfrac{-10-8}{-3-(-6)}=\dfrac{-18}{-3+6}=\dfrac{-18}{3}=-6[/tex]
the average rate of change of g:
[tex](-6,\ -2),\ (-3,\ 7)\\\\\dfrac{7-(-2)}{-3-(-6)}=\dfrac{7+2}{-3+6}=\dfrac{9}{3}=3[/tex]
-6 < 3
