HPC WB2.5 - Trig Graph Practice

Changing the period of a secant function changes its domain.

Changing the vertical displacement of a tangent function changes its range.

Changing the phase shift of a cosine function changes its domain.

Changing the vertical stretch of a cosecant function changes its domain.

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=2\sin\left( \frac{1}{2} \left( x - \frac{3\pi}{2}\right)\right) - 4

Fill in the missing blanks. Some info has been filled out.

Function: cosine

Vertical Stretch/Shrink: 2

Period: \frac{\pi}{3}

Phase Shift: none

Vertical Displacement: up 5

Equation:

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=15\tan\left(\frac{1}{4} \left( x- \frac{\pi}{2}\right)\right) - 10

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=3\csc\left( 4x\right)

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y = 5\cot\left( x + \frac{7\pi}{6} \right) + 7

Fill in the missing blanks. Some info has been filled out.

Function: tangent

Vertical Stretch/Shrink: none

Period: 4\pi

Phase Shift: left \frac{\pi}{6}

Vertical Displacement: none

Equation:

Identify the features of the graph, then sketch the graph. y=\cos\left(2x\right)-2

Identify the features of the graph, then sketch the graph. y=2\sec\left(x\right)+2

Identify the features of the graph, then sketch the graph. y=\sin\left(x-\frac{\pi}{2}\right)+1

Identify the features of the graph, then sketch the graph. y=-\cot\left(2x\right)

Given the graph, find the following information:

Given the graph, find the following information:

Given the graph, find the following information: