Intro to Graphing Quadratic Equations Practice 3

Question

Accepted Answer

Here, we want to graph the quadratic equation y equals negative three x squared, and we're going to do this by plotting ordered pair solutions. So first, let's pick some x values to plug into our equation. Drawing out a table for our x y values. I'm going to go ahead and pick negative two, negative one, zero, one, and two. So plugging these in to y equals negative three x squared we'll have negative three times negative two squared. Negative two squared is four, and four times negative three is negative 12. Plugging in negative one, we have negative one squared is one, and one times negative three is negative three. Plugging in zero is going to give us zero. Plugging in one is going to give us negative three again. And plugging in two is going to give us negative 12 again. So now let's pop these points. First, we need to label our axes. I'm gonna put negative one, negative two, positive one, positive two. And I'll go ahead and make this first dash negative three, and then I'll scale it so that our fourth dash is negative 12, since 12 is four times three. Plotting our points, we know that at negative two, we have negative 12. At negative one, we have negative three. At zero, we have zero. At one, we have negative three again. And at two, we have negative 12 again. And lastly, we will connect all of our dots in the smooth continuous curve shape that is a parabola. And here we have the graph of negative three x squared.

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Intro to Graphing Quadratic Equations Practice 3

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