Answer:
-1/3
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
Answer:
![f(x)=\frac{1}{4}x^2](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx%5E2)
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
![f(x)=a(x-h)^2+k](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-h%29%5E2%2Bk)
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
![f(x)=a(x-0)^2+(0)](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-0%29%5E2%2B%280%29)
Simplify:
![f(x)=ax^2](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E2)
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
![1=a(2)^2](https://tex.z-dn.net/?f=1%3Da%282%29%5E2)
Square:
![1=4a](https://tex.z-dn.net/?f=1%3D4a)
Divide both sides by 4:
![a=\frac{1}{4}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B4%7D)
So, our a value is 1/4.
And we can thus complete our equation:
![f(x)=\frac{1}{4}x^2](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx%5E2)
And we are done :)
Answer:
$243.75
Step-by-step explanation:
25 x 9.75 = 243.75