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Is an expert at catching small green vegetables. Lets find out all right so so one of the things were doing here please one of the things we doing here is we are working with quadratics and we are actually graphing just pull two points x and y. And when i say were working with quadratics.

What that means is we have an x square. So here ive got ive got y equals negative 3x squared in number two that i shown you so all youre doing is do an x and y chart x. Y.

They give it to you and they gave you numbers to start with so. 21 over here 21 0 negative 1 and 2 so were doing the equation. Y equals negative 3x squared so whenever you see an x square youre going to end up with a graph thats very unique so if x is 2 you get y equals negative.

3.

Now put your parentheses. Here and then youre going to square. Whatever is in the parentheses.

So put your two in there so by order of operations youre going to do y equals negative. 3. Whats two squares to to the second power for and remember its in parentheses.

So solve whats in the parentheses. First then y equals whats negative 3 times 4 negative. 12 perfect so 2 and negative.

12.

Do the same thing with one with one squared. Whats 1 squared 111 to negative 3 times 1 y is negative 3 negative 3. We can probably do this one without writing anything what 0 square 0 0 times negative 3 0.

Negative. 1 squared. Whats negative 1 to the second power negative 1 times negative.

1. Is positive one so its the exact same problem here see y equals negative 3 negative 1 squared y equals negative 3 times positive 1 2 ends up with the exact same problem y equals negative 3. Times negative.

2.

Squared. Y equals negative 3. Times positive for exact same problem again so you end up with 2 to negative 12 1 negative 3 0 0 negative 1 negative 3 and 2 negative 2 and sure enough here they are this is what the points look like and you draw a lines between them obviously i dont draw perfect lines.

Would you end up with a parabola anytime. You have a square your graph is going to look. Like a parabola.

So here. We have y equals. One half x.

Squared okay.

So if x. Is square x. Is for whats four squared is 4 to the second power.

Whats half of 16 8. Whats to to the second power for whats half of 4 to 20 to the second power half of 0 negative. 2 to the second power negative 2 times negative.

2 is positive for half a positive 4 is negative 4 times negative. 4 positive 8 16 oh eckstein half of saline is 8 notice its almost always symmetrical so heres your 0 0 positive 2 to negative 2 to negative 48 positive 48 and thats what your parabola looks like throw bootiful then lit around a lot. If you put your accent on the wrong solano.

Youll say parabola its a parabola alright. So theres two more examples on your paper. All you do is substitute solve the problem we good good .

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