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More Lessons for A Level Math

Math Worksheets

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths. Transformations of Graphs Proof (Translations, Reflections, Stretches)

**Transformations of Graphs (translations) Proof**

Why y=f(x ± a) translates a graph left and right and y=f(x) ± a translates a graph up and down depending on the value of 'a'.
**Transformations of Graphs (Reflections) Proof**

Why y= -f(x) reflects a graph in the x-axis and why y=f(-x) reflects a graph in the y-axis?

**Transformations of Graphs (stretches 1) Proof**

Why y = af(x) stretches a graph y=f(x) by a factor of 'a' parallel to the y-axis?
**Transformations of Graphs (stretches 2) Proof **

Why y=f(ax) stretches the graph by a factor of '1/a' parallel to the x-axis?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for A Level Math

Math Worksheets

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths. Transformations of Graphs Proof (Translations, Reflections, Stretches)

Why y=f(x ± a) translates a graph left and right and y=f(x) ± a translates a graph up and down depending on the value of 'a'.

Why y= -f(x) reflects a graph in the x-axis and why y=f(-x) reflects a graph in the y-axis?

Why y = af(x) stretches a graph y=f(x) by a factor of 'a' parallel to the y-axis?

Why y=f(ax) stretches the graph by a factor of '1/a' parallel to the x-axis?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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