Translate a Trigonometry Function Up, Down, Left, or Right When
you translate a trig function to solve a problem, you can think
of the translation as a slide. This means that the function has
the same shape graphically, but the graph of the function slides
up, down, left, or right on the coordinate plane. Slide the
graph of a trigonometry function up or down The following figure
shows the parabola y = x2 with a translation 5 units up and a
translation 7 units down. A parabola is the graph of a second-
degree polynomial, which means that the polynomial has a power
of 2 for one exponent. The graph makes a nice, U-shaped curve.
Think about a function that you use to determine how much money
a person earns for working a certain number of hours. The amount
can slide up or down if you add a bonus or subtract a penalty
from the amount. Here’s what the situation may look like in
function notation: Translating up C units: f (x) + C Translating
down C units: f (x) – C Let the base pay function be where x is
the number o