Overview - Graphing Trig Functions

What is the period of either graph?

y = sin(x) & y = cos (x)

$2\pi$

Mathematical Equivalence

ON

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

what is the amplitude of

y = -3sin (7x) -2

Mathematical Equivalence

ON

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

What is the vertical shift for y = 4 cos(x) - 2? (a)  

• up 2
• left 2
• right 2
• down 2

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

Sine or Cosine? (a)  

• y=sinx
• y=cosx

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

Sine or Cosine?

• y=sinx
• y=cosx

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

What is the range of the equation 
y = 2cos(2x)? 

• All Real Numbers
• 2
• y ≥ 2
• -2 ≤ y ≤2

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

Describe the horizontal and vertical shifts.

• left π , up 4

• left π , down 3

• right π , up 4

• right π , down 3

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

The vertical asymptotes occur at .....

• $-\pi,\ \pi,\ 3\pi$

• $-3\pi,\ 0,\ 3\pi$
  

• $-\frac{3}{2}\pi,\ -\frac{\pi}{2},\frac{\pi}{2}$

• $0,\ 2\pi,\ 4\pi$
  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

The __________ measures the distance from the midline to the max (top) or min (bottom) of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G

What is another name for a phase shift?

• Horizontal Dilation

• Horizontal Shift/Translation

• Vertical Dilation

• Vertical Shift/Translation

Tags

TEKS.MATH.A.2G

TEKS.MATH.P.2F

TEKS.MATH.P.2G