What is the graph of y = |x -3|?

Answer 1

y is always non-negative. y > 0

the vertex or minimum point is (3,0)

It's a V shaped graph with the bottom of the V at (3,0) which is the x intercept

It's symmetric about x = 3

the right side of the V is a diagonal line 45 degrees with the x axis, a slope = 1

the left side of the V is a diagonal line 135 degrees with the x axis, slope = -1

The graph is two lines, one is y=x-3 and the other y=-x+3, but only the parts above the x-axis

y intercept = 3 = (0,3)