- 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>
Square has 4 equal sides so it would be the same for all the corresponding sides.
area of square =
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area of triangle =
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total area =
Answer:
(x - 4) + (y +1) 2 = 25 is the answer! :)
Step-by-step explanation:
Answer:
The question may be incomplete.
I guess the answer is as follows:
we are given the function adn we can see that when t is increased, P(t) is decreasing because of the negative sign. This means the value of the population which is the original of 64 billion will have to decrease.The answer that makes sense here is D. D. In 1990, there were 5.33 billion people.
Answer:
The true statement is "Opposite numbers have different signs but are the same distance from zero."
Some examples of opposite numbers are 1 and -1, 6 and -6, and 10 and -10.
