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.
What is the missing number in the list of perfect squares 1,4,9,16,25,36,49,_,81,100,121,144
Yuri [45]
Answer:
64
Step-by-step explanation:
49= 7*7
81=9*9
8*8=64
Answer:
8, 36, -12
Step-by-step explanation:
Q2
41 = 8x - 23
8x = 41 + 23
8x = 64
x = 8
Q4
11 = x/2 - 7
22 = x - 14
22 + 14 = x
x = 36
Q6
3(x - 8) = -60
x - 8 = -20
x = -12
