Solve Quadratic Equations Algebraically - Example 4
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Liberty University
Graph Quadratic Inequalities - Example 4

# Algebra 2

## Topics

Quadratic Functions

## Comments

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## Video Transcript

I think inequality wise, less than or equal to negative. X square plus five X plus six before we graph, we did create an X Y table. So let's go ahead and find a few points. First thing we confined is our y intercept or why Intercept is based on Constant, which is six. So that means when x zero, why is six which would be that point right there. We can also go ahead and find our axes of symmetry, which is negative, be over to a. So in this case, that would be a negative five over two times negative one. So that would be 50 for positive, too, because the negatives would rule each other out. So that would be about 2.5. So we're talking about acts as a symmetry would be about right here, so we're not gonna find that exact spot. But what we're are gonna do is we're going to kind of pick points to the left and right of that. So let's pick. Let's do We've already got zero. So let's do positive one and the positive, too. And then we'll do three and four. We'll start with those points. So let's start with we have why is less than or equal to negative? Negative. I'm sorry. We're going to pause it 11 squared, plus five times one plus six and that's going to give me 12. Well, that's gonna be a little bit bigger than what I was wanting. So, too, is so that looks like it's kind of going upwards, so that's gonna be coming down. So let's go. Actually, the end. Let's change some of our numbers. We're going to keep the zero. We'll put that we didn't do one. Let's go negative one this time because it looks like we're gonna be kind of coming. This is going to be a negative. So it's gonna be going this direction. And since that's going up, that's gonna be going closer to the Vertex. So let's do negative one. If I put negative one in, I'm going to get zero. So for that purpose, let's do let's try positive four. I think that would be kind of a good space between it. So why is less than or equal to four squared? Plus five times four plus six? Let's go a little bit more than we want to use. Let's to five. We'll see what father is. So that would give us if I put five in. Oh, it's a negative. That's where I got off. Sorry. So that would be Actually, actually, let's go. So five would actually be would be six, which would be this point right here. So six was telling me that six would be would be zero. Now, this one has the line under it, so it's gonna be greater than so. We are going to draw a solid line, and this is gonna be one of those kind of like before. We're not gonna be able to see the Vertex. So it's just going to kind of let it kind of just drop from there, and then we can do our shading and our shading. This is less than so. We're gonna shade kind of in the parabola because it's under the line and it would keep going out