- 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:
Angle 6 forms a pair of alternative exterior angles with angle 3.
Im pretty sure its (1, 4) if its wrong im so so sorry but I do think thats the awnser
Answer:
slopee = 5/3
Step-by-step explanation:
The slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value). Here, the change in y-value is 6 - (-14) = 6 + 14 = 20. The change in x-value is 20 - 8 = 12. Therefore, the slope is 20/12 or (simplified) 5/3.