The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Answer:
approximately 3.16 repeated
Step-by-step explanation:
Answer:
4,864,000,000.00
Step-by-step explanation:
The slope is 2.
Since the line "y = 2x − 8" follows slope-intercept form (y = mx + b), and the slope is always m, we know that the value of the slope is 2.
There are 5 data values.
Mean = (22 + 37 + 49 + 15 + 83) / 5 = 41.2
