Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts. $$y = | x + 4 |$$
A)Intercepts: $( 0 , - 4 ) , ( 0,4 )$
B)Intercepts: $( - 4,0 ) , ( 0 , - 4 )$
C)Intercepts: $( 4,0 ) , ( 0,4 )$
D) Intercepts: $( - 4,0 ) , ( 0,4 )$
E)Intercepts: $( - 4,0 ) , ( 4,0 )$

Question

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts. $$y = | x + 4 |$$ 
A)Intercepts: $( 0 , - 4 ) , ( 0,4 )$ 
B)Intercepts: $( - 4,0 ) , ( 0 , - 4 )$ 
C)Intercepts: $( 4,0 ) , ( 0,4 )$ 
D) Intercepts: $( - 4,0 ) , ( 0,4 )$ 
E)Intercepts: $( - 4,0 ) , ( 4,0 )$

Quizplus · Accepted Answer

The equation is a absolute value equation, which has a "V" shape. By substituting some trial values of x we can get the first and fourth quadrants' coordinates of the curve. By noticing that the absolute value symbol can be eliminated for positive x values we get the graph of $ y = x + 4 $. When x is negative, by making it positive we get $ y = -x - 4 $ and by multiplying it with -1 we get $ y = x + 4 $. So, the negative x values will also coincide with the positive x values. The graph passes from (-4, 0) and (0, 4) so the answer is D.

Use a Graphing Utility to Graph the Equation y=∣x+4∣y = | x + 4 |y=∣x+4∣

Use a Graphing Utility to Graph the Equation $y = | x + 4 |$