- 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:
Yes
Step-by-step explanation:
None of them repeat
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.