Sine graphs and transformations · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Trigonometric graph parameters — objective 1

Maths4U Original · Short practice

Consider \(y = 3 \sin{\left(3 x \right)} + 18\), with x measured in radians.

Find the maximum value.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Trigonometric graph parameters — objective 1

Maths4U Original · Short practice

Consider \(y = 4 \sin{\left(x \right)} + 19\), with x measured in radians.

Find the maximum value.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Trigonometric graph parameters — objective 2

Maths4U Original · Short practice

Consider \(y = 4 \sin{\left(x \right)} + 19\), with x measured in radians.

Find the minimum value.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Trigonometric graph parameters — objective 2

Maths4U Original · Short practice

Consider \(y = 2 \sin{\left(3 x \right)} + 21\), with x measured in radians.

Find the minimum value.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Trigonometric graph parameters — objective 3

Maths4U Original · Short practice

Consider \(y = 5 \sin{\left(2 x \right)} + 20\), with x measured in radians.

Find the period divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Trigonometric graph parameters — objective 3

Maths4U Original · Short practice

Consider \(y = 2 \sin{\left(3 x \right)} + 21\), with x measured in radians.

Find the period divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Trigonometric graph parameters — objective 4

Maths4U Original · Short practice

Consider \(y = 2 \sin{\left(3 x \right)} + 21\), with x measured in radians.

Find the amplitude.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Trigonometric graph parameters — objective 4

Maths4U Original · Short practice

Consider \(y = 3 \sin{\left(x \right)} + 22\), with x measured in radians.

Find the amplitude.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Try written exam-style problems →