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

Front

What is the parent points pattern for COSINE?

Back

1, 0, -1, 0, 1

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

3

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

y = 3cos(θ + π/4) + 1

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The period is given by 2π/k.

Tags

CCSS.HSF.TF.A.4

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The vertical shift is 3 units up.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E