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.
<u>Answer:</u>


<u>Step-by-step explanation:</u>

First set the equation to 0


Second, get the 12 on the right side of the equal sign by adding a -12 to each side



Square root both sides of the equal sign.


Take the square root on left sides of the equal sign.


Take the square root on the right side of the equal sign. Remember 



<u>AND</u>

Answer:
3/4
Step-by-step explanation:
Difference means subtraction
12/8 - 3/4
We need a common denominator of 8
12/8 - 3/4 * 2/2
12/8 - 6/8
6/8
Divide by 2 in the numerator and denominator
3/4
Answer:
No solutions
Step-by-step explanation:
–2(3x – 1) = –6x – 1
First distribute the left side
-6x + 2 = -6x - 1
Add 1 to both sides
-6x + 3 = -6x
Add 6x to both sides
3 = 0
This equation is not true because 3 does NOT equal 0. Therefor, this equation has no solutions.
Answer:
the amount borrowed is ≅ $527
Step-by-step explanation:
Given that;
simple interest rate r = 180% p.a
Let the amount borrowed (principal) be $x.
time t = 4 weeks = 28 days
= 28/365 year
= 0.0767 year
we all know that :


Simple interest = 0.13806x
Total amount to be paid after 4 weeks= Interest+Principal
= x + 0.13806x
= 1.13806x
Thus;
1.13806x = $600
x = $600/ 1.13806
x = $527.21
Hence; the amount borrowed is ≅ $527