Answer:
There are two x-intercepts.
A quadratic function whose maximum degree two. Therefore, Total two x-intercept possible.
We are given the range of quadratic function y less than equal to 2. It means parabola is downward whose maximum value 2.
Here y is greater than 2 and parabola form downward. Here must be two x-intercept.
If a>0 then form open up parabola.
If a<0 then open down parabola.
Here open down parabola. So, we get total two x-intercept.
Please see the attachment for diagram.
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:
Step-by-step explanation:
24√3
Answer:
132−15+12
Step-by-step explanation:
X^2+5^2=7^2
x^2+25=49
(49-25)
x^2=24
sqrt(24)=4.89897948557