Graphing Sine, Cos, Sec, Csc (With All Transformations)

Front

What is the parent points pattern for COSINE?

Back

1, 0, -1, 0, 1

Front

Write the equation for the graph of y = 3sec(2x).

Back

y = 3sec(2x)

Front

What is the sinusoidal axis for the equation y = 6 + 3sin(2x)?

Back

y = 6

Front

What is the amplitude of y = -3sin(7x) - 2?

Back

3

Front

What is the equation of the graph shown for y = 3cos(θ + π/4) + 1?

Back

y = 3cos(θ + π/4) + 1

Front

Define amplitude in the context of sine and cosine functions.

Back

Amplitude is the maximum distance from the sinusoidal axis to the peak or trough of the wave.

Front

What is the period of the function y = sin(kx)?

Back

The period is given by 2π/k.

Front

How do you find the phase shift of the function y = sin(x - π/3)?

Back

The phase shift is π/3 to the right.

Front

What is the vertical shift in the function y = 2sin(x) + 3?

Back

The vertical shift is 3 units up.

Front

What is the effect of a negative sign in front of the sine function, e.g., y = -sin(x)?

Back

It reflects the graph across the x-axis.