Graph each equation in Exercises 1–4. Let x= -3, -2. -1, 0, 1, 2 and 3. y = x^2-3

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graph. The following equation using this set of X values from negative 3 to are y is two, X squared plus one. So now I'm gonna solve this, I'm going to set up a table of values. It's not good out here. Our equation is two X squared plus one, Y equals two X squared plus one. We started X was every number From -3, 3 every manager rather. So we're gonna take our exes and plug them into. Ry to get an output. But to do that, I'm gonna make a table X on one side, Y and the other negative three negative two negative 1012 and three. Let's say you plug in negative three first. That would be two times negative three squared plus one. Just two S nine Plus 1, which is 19. That would be 19. Next one said we have -2, two times 2 squared plus one is two times four Plus one, which is nine because through us for points and figured out what our value is. So negative one would be next. That would be two times negative one squared. It's just to this one which is three zero, we will just get one And one. We have to get three To get 9, 3. We'll get 19 again. Now that we have our table of values, we want to determine which graph fits this table. Let's go ahead and take a look take a look at the middle point first. Actually, I think that will help us figure out which graph it is our middle point is 01. So if you look at our graphs, you want to find which one has a .01. Look here, this one has a zero. That one can't be right. It's like this one right here, That looks like 01. I feel let's say 01. Look at this one here, We have 0 -1 and this one It's a little bit hard to tell, but I think we can say it's zero negative three. So there's only one of these that has 01, which is Graph B. Let's go ahead and check the rest of our points just to be safe just to make sure that we have the right graph. So Our next one is -29. I'm sorry, negative 3 19 will actually use first negative three up here. That looks like about 19, negative two nine, negative one and three 01 29, 3 19. Those are the points we said we're at our table, which means the answer to our problem is graph B. Okay. I hope that you solve the problem. Thanks for watching. Goodbye

Graph each equation in Exercises 1–4. Let x= -3, -2. -1, 0, 1, 2 and 3. y = x^2-3

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Key Concepts

Quadratic Functions

Evaluating Functions

Graphing Points