Pre-Cal: CSC and SEC graphs

The __________ represents the distance from the baseline of sine/cosine to the max and min of the curve.

• Period

• Frequency

• Max/Min

• Amplitude

• 5

• -5

• None

• 2

• -2

Describe the transformations of y = - 6 csc ( 2x + π ) - 11

Select all that apply?

• down 11

• reflection over the x - axis

• phase shift = π/2 to the right

• period = 1

• Amplitude is 6

Describe the transformations of y = 2cot ( 3x - 2π ) + 4

• down 4 units

• phase shift = 2π/3 to the right

• vertical stretch by a factor of 2

• reflection over the x - axis

• per = π/3

Determine the period for this graph:

• $\pi$

• $2\pi$

• $4\pi$

• $\frac{3\pi}{2}$

• $\frac{\pi}{2}$

Which function below matches the graph?

• $y=\csc\left(x+\frac{\pi}{2}\right)$
  

• $y=\sec\left(x+\frac{\pi}{2}\right)$

• $y=\sec\left(x-\frac{\pi}{2}\right)$

• $y=\csc\left(x-\frac{\pi}{2}\right)$

What is the range for y = csc x ?

Hint: graph the equation if necessary

• All real numbers

• All real numbers except odd multiples of π /2

• All real numbers except multiples of π

• All real numbers between -1 and 1, inclusive; [-1,1]

• (-∞, -1] U [1, ∞)