Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
Y = 2 - |x|

A)x- intercept: (±2,0) y- intercept: (0,2) Y-axis symmetry
B)x- intercept: (-2,0) y- intercept: (0,2) Y-axis symmetry
C)x- intercept: (2,0) y- intercept: (0,±2) Y-axis symmetry
D)x- intercept: (2,0) y- intercept: (0,2) Y-axis symmetry
E)x- intercept: (-2,0) y- intercept: (0,2) Y-axis symmetry

Question

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. 
Y = 2 - |x|

A)x- intercept: (±2,0) y- intercept: (0,2) Y-axis symmetry 
B)x- intercept: (-2,0) y- intercept: (0,2) Y-axis symmetry 
C)x- intercept: (2,0) y- intercept: (0,±2) Y-axis symmetry 
D)x- intercept: (2,0) y- intercept: (0,2) Y-axis symmetry 
E)x- intercept: (-2,0) y- intercept: (0,2) Y-axis symmetry

Quizplus · Accepted Answer

The equation has a y-intercept of (0,2) and two x-intercepts of (-2,0) and (2,0). It also has y-axis symmetry because replacing x with -x yields the same equation. Choice A is the best option as it correctly identifies all intercepts and the symmetry.

Identify Any Intercepts and Test for Symmetry