What is the period of the function $$y = a \times \text{trig}(bx + c) + d$$ ?

The period is given by $$\frac{2\text{π}}{|b|}$$ .

What is the equation of a cosine function with an amplitude of 4, period of $$4\text{π}$$ , and vertical shift of 2?

$$y = 4\text{cos}igg(\frac{1}{\text{2π}}xigg) + 2$$ .

What does the term 'phase shift' refer to in trigonometric functions?

Phase shift refers to the horizontal shift of the graph, determined by 'c' in $$y = a \times \text{trig}(bx + c) + d$$ .

What is the effect of changing 'b' in the function $$y = a \times \text{trig}(bx + c) + d$$ ?

Changing 'b' affects the period of the function.

What is the equation of the tangent function with a phase shift of $$\frac{\text{π}}{4}$$ ?

$$y = \tanigg(x + \frac{\text{π}}{4}igg)$$ .

How do you find the amplitude, period, and vertical shift of the function $$y = -3\text{sin}(2x) + 1$$ ?

Amplitude: 3, Period: $$\text{π}$$ , Vertical Shift: 1.

What is the period of the function $$y = \tan(bx)$$ ?

The period is $$\frac{\text{π}}{|b|}$$ .

What does a negative amplitude indicate about the graph of a trigonometric function?

It indicates a reflection across the x-axis.

What is the general form of a sine function?

$$y = a \times \text{sin}(bx + c) + d$$ .

What is the general form of a cosine function?

$$y = a \times \text{cos}(bx + c) + d$$ .

Semester 1 Exam Review of Standard 40: Graphs of Trig Functions

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7E, HSF.TF.A.4

Standards-aligned

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FLASHCARD QUESTION

Front

What does a negative 'a' value cause in a trigonometric function?

Back

A reflection across the x-axis.

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

FLASHCARD QUESTION

Front

What is the amplitude of a trigonometric function?

Back

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

How does a positive 'a' value affect the graph of a trigonometric function?

Back

It stretches the graph vertically.

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

Back

The vertical shift is represented by 'd'.

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7E

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