Graphing Sine and Cosine

Front

What is the period of a sine or cosine graph?

Back

The period can be found using the formula 2π/b, where b is the frequency of the function.

Tags

CCSS.HSF.TF.A.4

Front

Where does the graph of y=sin(x) begin its first cycle?

Back

The graph of y=sin(x) begins its first cycle at the point (0,0).

Tags

CCSS.HSF-IF.C.7E

Front

How do you find the reference point for sine or cosine graph?

Back

The reference point for sine or cosine graph is given by the coordinates (h, k), where h is the horizontal shift and k is the vertical shift.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The vertical shift is down 2.

Tags

CCSS.HSF-IF.C.7E

Front

Where should your starting point be for the graph of y= -3 cos(x)?

Back

Your starting point should be on the minimum.

Tags

CCSS.HSF-IF.C.7E

Front

What is the amplitude of the function y = 2 sin(x)?

Back

The amplitude is 2, which is the coefficient of the sine function.

Tags

CCSS.HSF-IF.C.7E

Front

How does a horizontal shift affect the graph of y = sin(x)?

Back

A horizontal shift moves the graph left or right, depending on the value added or subtracted from x.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a negative sign in front of the cosine function, such as in y = -cos(x)?

Back

A negative sign reflects the graph across the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the maximum value of the function y = 3 sin(x)?

Back

The maximum value is 3, which is the coefficient of the sine function.

Tags

CCSS.HSF-IF.C.7E

Front

What does the variable 'b' represent in the function y = a sin(bx)?

Back

The variable 'b' represents the frequency of the sine function, affecting the period.

Tags

CCSS.HSF-IF.C.7E