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Chapter 1: Q. 88 (page 16)

Graph each equation by hand by plotting points. Verify your results using a graphing utility.

4x2+y=4

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given information.

Graph each equation by hand by plotting points. Verify your results using a graphing utility.

4x2+y=4

02

Step 2. Create table of values. 

We will rewrite the given equation to solve for y:

4x2+y=4y=-4x2+4

Start by creating a table of values, we will then use it to plot the points on the graph. select values of x and use the given equation to find the corresponding values of y.

03

Step 3. Create the graph.

Plot the points from the table above and connect them with a smooth curve.

04

Step 4. Conclusion.  

The required graph is

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Most popular questions from this chapter

Does every line have exactly one x intercept and one y-intercept? Are there any lines that have no intercepts?

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(3,-4);P2=(5,4)

The coordinate axes divide the xy-plane into four sections called _________.

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

Graph the line containing the point P and having slope m.

P(-2,0),m=undefined
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