Question

Which graph represents the equation y=|x|+2

A. I
B. II
C. III
D. IV

Please give a detailed answer

Answer 1

Graph I

Explanation:

The graph of y = |x| has the shape of a V opening up with the vertex of the V on the origin. y = |x| has the same shape, but every point is translated 2 units up. The only V-shaped graph is Graph I.

Graphs II and III are parabolas, not V shapes. Graph IV is a straight line, not a V shape.

Answer: Graph I

Answer 2

The correct one is A) I

Hope it helps!