I really don’t know gang but be strong you can do it
Answer:
a) The vertex of the graph is
, b)
, c) The equation of the parabola is
.
Step-by-step explanation:
a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.
The vertex of the graph is
.
b) If we know that
,
and
, then the value of
is:
![15 = a\cdot (1-0)^{2}+31](https://tex.z-dn.net/?f=15%20%3D%20a%5Ccdot%20%281-0%29%5E%7B2%7D%2B31)
![15 = a\cdot 1 + 31](https://tex.z-dn.net/?f=15%20%3D%20a%5Ccdot%201%20%2B%2031)
![a = 15-31](https://tex.z-dn.net/?f=a%20%3D%2015-31)
![a = -16](https://tex.z-dn.net/?f=a%20%3D%20-16)
c) The equation of the parabola is
.
Answer:
Option 2: 27 is the correct answer.
Step-by-step explanation:
Given functions are:
![f(x) = x^2-2\\g(x) = 4f(x) - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2-2%5C%5Cg%28x%29%20%3D%204f%28x%29%20-%201)
As we can see that the function g(x) in written in terms of f(x), first of all we have to find g(x) by putting the value of f(x) in g(x)
So putting f(x) = x^2-2 in g(x)
![g(x) = 4(x^2-2)-1\\= 4x^2-8-1\\=4x^2-9](https://tex.z-dn.net/?f=g%28x%29%20%3D%204%28x%5E2-2%29-1%5C%5C%3D%204x%5E2-8-1%5C%5C%3D4x%5E2-9)
As g(-3) has to be found, putting x=-3 in g(x)
![g(-3) = 4(-3)^2-9\\= 4(9)-9\\=36-9\\=27](https://tex.z-dn.net/?f=g%28-3%29%20%3D%204%28-3%29%5E2-9%5C%5C%3D%204%289%29-9%5C%5C%3D36-9%5C%5C%3D27)
Hence
Option 2: 27 is the correct answer.
Answer: say what now?
Step-by-step explanation: