Summary Graphing Quadratic Equations(HD) (Youtube) www.youtube.com
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n/a When it comes time to graph para, you could always make a table of values and plug in the x points 1 by 1 to find their Y point. It takes a long time though, and sometimes there's shortcuts or other points you could use to help you do your Graphing more efficiently. Also, if you guys are lucky, you might have access to a graph calculator, the only use that to check your work. You don't want rely on the graph calculator which should know how to do this stuff by hand. There's a whole bunch of information that's gonna help you to graph your para, and I listed a bunch of it here.
n/a And The first thing you might wanna look for is the y intercept. Remember the y intercept is found by letting x equals 0. That's usually a really quick 1 and great way to find at least 1 point on your para. The x intercept has to do with all the stuff you've been studying in your study of quadratic. We're talking about to find the x intercept, you could use the discrimination to tell you how many x intercept there are.
n/a And then to find the actual x intercept, you have a choice of what method to use, Factoring, the quadratic formula, taking square roots are completing the square Those are all options to you. They all take different amount different amounts of time, some of them are easier for certain problems than others. So something you're gonna wanna be practicing is being able to tell which method to use in which circumstances, and your teacher hopefully helping you with that in class. Another thing you're gonna want look at is whether or not the p opens upward or opens down. Some people think of this as like smiley face like a positive a value or a sad face, a negative a value.
n/a That's how you tell if the p opens up or opens down. This often shows up on multiple choice tests. A lot of times, teachers will give you the correct x and y intercept, and they'll give you like 1 graph for... The p opens up, long Graphing of the para opens down, the way you'll be able to tell is by looking at a, your lead efficient. The if a is positive, the p opens up, I'll write that here.
n/a If a is positive, it opens down, if a is negative. Okay. Skinny or wide. If your a value is a whole number like 234, something like that. Or it could be negative to negative 3 negative for, then it's gonna be a skinny para.
n/a If you have a fraction a, it's gonna be a wide para. Fraction a value. Member a means the lead coefficient. It's the coefficient in front of the x squared term. The last thing you might want to look at is the vertex and reminder, the way to find the vertex is by first finding the value with x is equal to negative b over 2a.
n/a Once you found your x number, substitute that value back into the function to find the y value. The vertex is the point where your para either reaches its bottom or it's top. It's a really important point. It also helps you to find the axis of symmetry. Remember, the axis of symmetry is the equation x equals negative b over 2a a.
n/a And it goes some vertical line that goes right through your vertex. That will also help you when you're drawing your graph. Last but not least, if you still feel like you've tried all these things and you still don't have a very good idea of what your para travel looks like. Try making a table of values. You can always use this method.
n/a And as long as you're careful with order of operations, those points will help you draw the para. But these things are the most important elements of the quadratic function, so it's important that you guys know how to do all of these skills as well.
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n/a Alright. So when you're in chemistry class, they're gonna be dealing a lot of work you're gonna go... Sunny ever.
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