More Practice on Sine and Cosine Graphs

Identify the correct parent function.

• f(x)=sinx

• f(x)=cos(x)

• f(x)=tan(x)

Identify the correct parent function.

• f(x)=sinx

• f(x)=cos(x)

• f(x)=tan(x)

Identify the correct parent function.

• f(x)=sinx

• f(x)=cos(x)

• f(x)=tan(x)

Where is the midline of the graph?

Don't forget y=

What is the amplitude of this graph?

Remember: Amplitude is the distance from the midline to the maximum.

Answer explanation

If the midline of sin(x) is at y=0 and the maximum of sin(x) is at 1, the distance from the midline to the maximum is 1.

What is the period of this graph?

Remember: Period is one full revolution of the graph.

• 1

Answer explanation

From 0, the graph of sin(x) completes one full cycle at 2pi. This is where it begins to repeat itself.

Where is the midline of the graph?

Don't forget y=

What is the amplitude of this graph?

Answer explanation

If the midline of cos(x) is at y=0 and the maximum of cos(x) is at 1, the distance from the midline to the maximum is 1.

What is the period of this graph?

• 1

Answer explanation

From 0, the graph of sin(x) completes one full cycle at 2pi. This is where it begins to repeat itself.

What is the midline of this function?

Don't forget y=