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ACT Math 2.5 Trigonometry 416 Views


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Description:

ACT Math: Trigonometry Drill 2, Problem 5. Which equation is expressed by the graph in this video?

Language:
English Language

Transcript

00:02

Here's your shmoop du jour...

00:04

Which equation is expressed in the following graph?

00:07

And here are your options...

00:11

Don't worry, you're not seeing things. The cosine graph really is lined up incorrectly

00:17

with the x-axis values. But... what does this mean?

00:22

Well the graph was shifted a bit to the right

00:24

or left. ...which means that there is an addition or

00:26

subtraction to the x in the parentheses of the cosine function, which is expressed in

00:31

options A and D. Now we just have to figure out if it is plus 2 or minus 2.

00:38

A plus two would mean a shift to the left, while a minus two would mean a shift to the

00:41

right. If we were to draw a normal cosine graph on the same set of axis, it would be

00:46

a bit to the right of the one shown. That means that the graph here was shifted

00:50

to the left, yielding a result of cos(x + 2).

00:54

This is represented in choice A. Which turns out to be our answer!

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