Question

What are the vertex and range of y = |x + 2| − 3?

a. (−2, −3); −∞ < y < ∞
b. (−2, −3); −3 ≤ y < ∞
c. (0, −1); −∞ < y < ∞
d. (0, −1); −3 ≤ y < ∞

Answer 1

answer is b

Explanation:

the original function was y=|x|

then |x+2| shifts graph vertex to (-2,0)

then |x+2|-3 shifts graph vertex to (-2,-3)

so , range of the new function would be -3 to positive infinity