Answer:
a
Step-by-step explanation:
sorry if its wrong i kina just guessed
Answer:
The answer is y=x^2-2
Step-by-step explanation:
A linear function is a straight line when you graph it out. All the choices give you a straight line except for y=x^2-2. Therefore, that is the answer.
I hope this helped and please mark me as brainliest!
Answer:
In vertex form the equation is ![y=-\frac{1}{2}(x-2)^2+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%28x-2%29%5E2%2B2)
In standard form the equation is ![y=-\frac{1}{2}x^2+2x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B2x)
Step-by-step explanation:
The equation of the directrix tells us that this is an x-squared parabola. Because the directrix is above the vertex, the parabola will open downward. The vertex form of this equation is:
![4p(y-k)=-(x-h)^2](https://tex.z-dn.net/?f=4p%28y-k%29%3D-%28x-h%29%5E2)
where p is the number of units between the directrix and the vertex. The number of units here is .5 or 1/2. Filling in the coordinates of the vertex and the p value of 1/2:
![4(.5)(y-2)=-(x-2)^2](https://tex.z-dn.net/?f=4%28.5%29%28y-2%29%3D-%28x-2%29%5E2)
Simplifying we have:
![2(y-2)=-(x-2)^2](https://tex.z-dn.net/?f=2%28y-2%29%3D-%28x-2%29%5E2)
Divide both sides by 2 to get:
![y-2=-\frac{1}{2}(x-2)^2](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B2%7D%28x-2%29%5E2)
Add 2 to both sides to get the final vertex form:
![y=-\frac{1}{2}(x-2)^2+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%28x-2%29%5E2%2B2)
If you want that in standard form, you first need to expand the squared term to get:
![y=-\frac{1}{2}(x^2-4x+4)+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%28x%5E2-4x%2B4%29%2B2)
Order of operations tells us that we have to distribute in the -1/2 first to get:
![y=-\frac{1}{2}x^2+2x+2-2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B2x%2B2-2)
which simplifies to the standard form:
![y=-\frac{1}{2}x^2+2x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B2x)
Grocery store:
price per bottle = 13.80/12 = $1.15 per bottle
Convenience store:
price per botttle = 11.80/10 = $1.18 per bottle
The <u>grocery store is cheaper</u>, as the cost per bottle is lower.