When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at 
The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is 
For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is 
Using this information, the vertex-form equation of the parabola is 
so the factors are two copies of 
In this case, the value of 
in the equation 
was conveniently 1; if that's not the case, you'll want to plug in 
to solve for the value of a that gives the correct y-intercept.
Does that help clear things up?
A common characteristic for the shapes given is that they all consist of sides. Therefore, the most applicable sorting rule is the number of sides. In this regard, there will be two categories of the shapes given.
That is, number of sorting rule in which:
Category 1: 1 square and 1 rectangle all with four sides.
Category 2: 1 triangle with three sides.
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Answer: Lenayah's presentation was 12 minutes long.
Step-by-step explanation:
- Set up a proportion. 2/3 = 8/x.
- Cross multiply. 2x = 24
- Divide both sides by 2. x =12
X = 180 - (90 + 47)
x = 180 - 137
x = 43
answer angle x = 43
