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:
53.04
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have two coordinate points and are asked to find a slope.
When finding slope, we can use the formula listed :
To understand what the variables are, you can take this :
Substitute the points :
Now substitute it into the formula :
Answer:
y = -2x + 6
Step-by-step explanation:
Point slope form is y - y1 = m(x-x1)
y - (-2) = -2(x-4)
y + 2 = -2x + 8
y = -2x + 6
Answer: There are 20 boys
Step-by-step explanation:
