Question

Which of the following functions is graphed below?

A. Y=|x+4|-2
B. Y=|x+4|+2
C. Y=|x-4|+2
D. Y=|x-4|-2

Answer 1

The correct answer is A. when solving these graphs the number in the x-axis is always flipped ex: -4 would be +4, and +4 would be -4

Answer 2

Choice A.

Explanation:

Y = x + 4 will pass through the x axis at -4 and through the y axis at y=4.

y = = |x+4) will only have positive values of y and the points where x is less than -4 will reflect in the x- axis and the graph will be V shaped with the vertex at the point ( -4,0).

The graph of y = |x + 4 | - 2 will be the same as shape as

y = |x + 4| but it will be translated down by 2 units.