12x + 12 + 15 + 3x + 18 = 180
15x + 45 = 180
15x = 180 - 45
15x = 135
x = 135/15
x = 9
m < A = 12x + 12 = 12(9) + 12 = 108 + 12 = 120....A is 120
m < C = 3x + 18 = 3(9) + 18 = 27 + 18 = 45....C is 45
Vertex form is f(x) = a(x - b)^2 + c where the vertex is (b, c) and a is some constant.
So for the first part we have f(x) = a(x + 6)^2 - 1
for root -9:- a( -9+6)^2 - 1 = 0
9a - 1 = 0 , a = 1/9
The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1
Hope this helps! :)
There is an explanation in the photo below, as well as some things to remember!
Answer:

Step-by-step explanation:
The equation of a line in point-slope form is

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.
y is a variable so it is left alone (since there is no subscript).
y1 we are told is 1.
m we are told is -3 (the slope)
x is a variable so it is left alone (since there is no subscript).
x1 we are told is 6.