Question

Suppose the graph of y = |x| − 5 is translated left 2 units and up 3 units. What is the vertex of the new graph?

Suppose the graph of y = |x| − 5 is reflected over the x-axis and translated down 4 units. What is the vertex of the new graph?

Answer 1

a) (-2,-2)

b) (0,1)

Explanation:

(0,-5) is the vertex of the initial function.

(0-2,-5+3)

(-2,-2)

(0,-5)

Reflected in the x-axis : (0,5)

4 units down: (0,1)