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Chapter 4: Q14. (page 271)

Graph each equation.

y=4x鈭�2

Short Answer

Expert verified

The graph of the equation y=4x鈭�2is:

Step by step solution

01

Step 1. Find the x and y- intercepts of the equation y=4x−2.

To find the x-intercept, substitute 0 foryand find the value of x.

y=4x鈭�20=4x鈭�22=4x24=x12=x

Therefore, the x-intercept is 12.

As, the x-intercept is12that means the graph ofy=4x鈭�2will intersect the x-axis at 12,0.

To find the y-intercept, substitute 0 forxand find the value of y.

y=4x鈭�2=40鈭�2=0鈭�2=鈭�2

Therefore, the y-intercept is 鈭�2.

As, the y-intercept is鈭�2that means the graph ofy=4x鈭�2will intersect the y-axis at localid="1647377448155" 0,鈭�2.

02

Step 2. Draw the graph of the equation y=4x−2.

Draw the graph of the equationy=4x鈭�2 by using the information that the graph of the equationy=4x鈭�2 is a line passing through the points12,0 and 0,鈭�2.

Therefore, the graph of the equationy=4x鈭�2 is:

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