Only took me 45 minutes to type this up .... not setting any records here :P







Please try using Stapel sources before using my results. I am trying to practice using latex and it took me approx 45 minutes to type this up (yes I am slow) and I do not want to lose my work; therefore, I am going to post it, but you should try to do the work yourself first.

Vertex = ()

x-int = -1 and

y-int = 5

domain is (-inf,+inf)

range is (-inf, ]

See explanation below to determine how I came to these results.

Completing the Square



When completing the square the value of "a" should not be any number other than 1; therefore, factor out the -2



Now divide by 2 and square the result. The equation should now look like this.



To move the out of the parenthesis you have to multiply it by -2



Factor within the parenthesis and clean up outside the parenthesis. The vector format of your function should look like below



To determine the y-int take the original function substitute 0 for x and you should get the y-int of 5

To get the x-int take the vertex format of the function and substitute 0 for y





Divide both sides by -2









the x-int = -1 ,

well done

__________________

I've modified the quoted line a little bit:

Vertex =

Click on the formula above to see the code.

[math]\left( \frac{3}{4} , \frac{49}{8} \right)[/math] gives

While \frac{1}{2} produces: .

. . we can make smaller fractions with \tfrac{1}{2}: .



\frac{\frac{x}{2}}{\frac{y}{3}} produces: .

But we can make larger fractions with \dfrac:
. . \frac{\dfrac{x}{2}}{\dfrac{y}{3}} produces: .

Also use \infty for: .