Complete the square:
f(t) = t² + 12t - 18, f(t) = (t² +12t) -18.
Complete the square of t² +12t ↔ t² + 12t + 36 -36 = (t+6)² -36, ten:
f(t) = t² + 12t - 18 = (t+6)² -36 - 18 ↔f(t) = (t + 6)² - 54
f(t) = y = t + 6)² - 54 or ↔ y+54 = (t+6)²
(y+54) = (t+6)² is the standard form of a parabola. [(y-k) = a(x-h)²]
The vertex is (-54,-6) and since a is positive, te parabola opens upward with a minimum (-54,-6)
For the axis of symmetry, let's take again the initial form y= t²+12t-18.
(ax²+bx+c). The axis of symmetry is - b/2a = (-12)/2 = -6.
Then the axis of symmetry is x= -6
Dependent variable is dependent on the independent variable
independent variable influences the dependentvariable
number of months influences the hcost
independent=number of months
dependent=cost
for the cost for 4 or 2 months, just start at months=2 or 4 and go up till you hit the line
equation=y=mx+b
m=slope
b=yintercept or starting point
solid line
initial fee=20
see attachment, black lines are what they are
2 months=$80
4months=140
rate is $30 per month
equation is c=30m+20
dashed line
intial fee=50
attachment, blue is dashed points
2months=$70
4months=$90
rate is $10 per month
equation is y=10x+50
I am pretty sure it the first box, the scatter plot shows a linear association, because linear means a line and association means a group of people. I am sure this is right but if not, I am sorry
Answer:
right 6 and down 2
Step-by-step explanation:
I used a graphing calculator