Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
Y = |x - 4|

A)x- intercept: (4, 0)y- intercept: (0, 4)No symmetry
B)x- intercept: (-4, 0)y- intercept: (0, 4)No symmetry
C)x- intercept: (4, 0)y- intercept: (4, 0)No symmetry
D)x- intercept: (4, 0)y- intercept: (0, 4)No symmetry
E)x- intercept: (4, 0)y- intercept: (4, 0)No symmetry

Question

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​
Y = |x - 4|
​
A)x- intercept: (4, 0)y- intercept: (0, 4)No symmetry​ ​ 
B)x- intercept: (-4, 0)y- intercept: (0, 4)No symmetry​ 
C)x- intercept: (4, 0)y- intercept: (4, 0)No symmetry​ 
D)x- intercept: (4, 0)y- intercept: (0, 4)No symmetry​ 
E)x- intercept: (4, 0)y- intercept: (4, 0)No symmetry​

Quizplus · Accepted Answer

The equation is a absolute value function, so it will be symmetric about the vertical axis of the vertex, which is (4,0) in this case. Therefore, there is no symmetry with respect to the x-axis or y-axis. The x-intercept is (4,0) and the y-intercept is (0,4). Option D has both the correct intercepts and no symmetry.

Identify Any Intercepts and Test for Symmetry