Grade+11+Applied+Objective+5

Objective 5 deals with having to graph equations that look like "y=ax^2" or "y=ax^2+q". When you are graphing equations like this there are certain things you have to look for. These are: > __**POSITIVE = OPENS UP**__ > //__NEGATIVE OPENS DOWN.__// > __**GREATER THAN 1 = SKINNIER (in relation to x^2)** > //LESS THAN 1 = WIDER (in relation to x^2)//__ > __**POSITIVE = UP** > //NEGATIVE = DOWN//__
 * 1) Whether or not the coefficient of x is positive or negative.
 * 1) Whether or not the coefficient of x is greater or less than 1(negatives relate to example one, so do not worry about them with this).
 * 1) Whether or not there is a "q" variable. This variable moves the graph along the y-axis.

This is a Picture of the graph y=x^2

Here is and Example Question.

__**Which shows the graph of the equation? y = -3x^2 + 1**__ 1) This is not the answer because according the the equation the vertex should have a y value of +1, be skinnier than x^2, and open down.

2)This is the answer because as you can see the vertex has a y value of +1, it is a bit skinnier than x^2, and it opens down.

OK now here is a different type of question from this practice...


 * __Which quadratic function has the widest graph?__**

A) y = 1/6x^2 B) y = .9x^2 C) y = 6x^2 D y = 1/5x^2

The correct answer A. This is because as it says at the top, the closer you get to 0, the wider the graph gets.

Well that is pretty much the objective in a nutshell. I hope that this helps you guys out!