ANSWER

EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:

where (h, k) = vertex
From the line, the vertex of the graph in blue is:

To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:

Therefore, the absolute value function is:
The coordinates of all the vertices:
A = (-7,5)
B = (-5,8)
C = (-2,4)
Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
Answer:
A number line going from 27 to 37, open circle at 32, everything to the right is shaded
Step-by-step explanation:
-1/2p < -16
multiply each side by -2 (don't forget to switch inequality symbol)
p > 32
Answer:
57 + x³
Step-by-step explanation: