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Chapter 1: Q. 78 (page 24)

If the graph of an equation is symmetric with respect to the y-axis and 6 is an x-intercept of this graph, name another x-intercept.

Short Answer

Expert verified

The other x-intercept is -6.

Step by step solution

01

Given information

The x-Intercept is 6, therefore the graph intersects the x-axis at (6,0).

02

Determine the other point.

Since the graph is symmetric with respect to the y-axis, the following point is also on the graph:

(-(6),0)

Simplify the expression for the first coordinate by changing the sign of the number:

(-6,0)

Therefore, the graph contains the point (-6,0).

The graph intersects the x-axis at (6,0)because the y-coordinate is 0 .

Since the graph intersects the x-axis at (-6,0), the x-intercept occurs at-6.

03

Write the conclusion

The other x-interceptis -6.

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Most popular questions from this chapter

The figure shows the graph of two parallel lines. Which of the following pairs of equations might have such a graph?

(a)x-2y=3x+2y=7(b)x+y=2x+y=-1(c)x-y=-2x-y=1(d)x-y=-22x-2y=-4(e)x+2y=2x+2y=-1

Find the distance d(P1,P2)between the points P1andP2.

P1=(4,-3);P2=(6,4)

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

P(1,2),m=3

Plot each point. Then plot the point that is symmetric to it with respect to -

(a) the x-axis

(b) the y-axis

(c) the origin

Point (3, 4)

On a real number line the origin is assigned the number _________ .
See all solutions

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