- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent: 
Next, foil -2(x^2+2x+1): 
Next, combine like terms and <u>your final answer will be:
</u>
Answer:
(x−2)2=11
Step-by-step explanation:
Answer:
Claire will earn $25 in interest after 2 years.
Evaluate h -2 g for h = 3 and g = 27.plug in both values...
3-2(27)
3-54
Answer:
51
Answer: 22 batches of chocolate chip cookies
Step-by-step explanation:
A batch of cookies can take 0.25 cups of sugar to make.
You instead have 5.50 cups of sugar.
The number of batches that can be made is:
= Total amount of sugar available / Amount of sugar required for one batch
= 5.50 / 0.25
= 22 batches of chocolate chip cookies