Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
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Exercise 6 Page 287

Substitute some arbitrary values for x to find their corresponding y-values.

Table:

x y
- 2 0
-1 3
0 4
1 3
2 0

Graph:

Practice makes perfect

One way to graph a function rule is by making a table of values and substituting some arbitrary values for x. Doing so will give the corresponding values of y, which we can use to form ( x, y) coordinate pairs.

x 4-x^2 y (x,y)
- 2 4-( - 2)^2 0 ( - 2, 0)
-1 4-( -1)^2 3 ( -1, 3)
0 4-( 0)^2 4 ( 0, 4)
1 4-( 1)^2 3 ( 1, 3)
2 4-( 2)^2 0 ( 2, 0)

Let's plot these points on a coordinate plane.

We can see that there is no line that passes through the five points, which means that the given function is nonlinear. Hence, we will draw a curve passing through all five of these points.

A function such as y=4-x^2 is known as a quadratic function and its graph, which is shown above, is called a parabola. You will learn more about this sort of equation later.