Answer to Question #144640 in Algebra for Isabela Miranda

Question

Use the parent function f(x) and the description of the transformation to write the new function h(x).

Reflect the graph of f(x) = 2x − 5 across the y−axis and then translate it 2 units down.

Answer 1

f(x) = 2x -5

Now reflect across the y-axis

f(-x) = 2(-x) - 5

f(-x) = - 2x - 5

Now translate it to 2 unit down

f(-x) = - 2x - 5 - 2

f(-x) = - 2x - 7

This is the new function h(x)

h(x) = -2x - 7