Transforming graphs: y = −f(x)
I can recognise the effect of applying the transformation y = −f(x) to a graph.
Transforming graphs: y = −f(x)
I can recognise the effect of applying the transformation y = −f(x) to a graph.
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Lesson details
Key learning points
- Desmos is an effective tool for showing the effects of this transformation
- The actual function itself does not need to be known
- The graph is transformed by a reflection in the x axis
Keywords
Transformation - A transformation is a process that may change the size, orientation or position of a shape or graph.
Common misconception
Pupils can get confused between $$-$$f$$(x)$$ and f$$(-x)$$, which one is a reflection in the $$x$$-axis and which is a reflection in the $$y$$-axis?
Interpreting the notation is key. Remind pupils that $$-$$f$$(x)$$ is the output of f$$(x)$$ being multiplied by $$-1$$. Which coordinate is the output? The $$y$$ coordinates are altered from positive to negative, that is a reflection in which axis?
To help you plan your year 11 maths lesson on: Transforming graphs: y = −f(x), download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Transforming graphs: y = −f(x), download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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Explore more key stage 4 maths lessons from the Transformations of graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Starter quiz
6 Questions
$$\text{f}(x)+5$$ -
The output of $$\text{f}(x)$$ has $$5$$ added to it.
$$\text{f}(x+5)$$ -
The input has $$5$$ added to it before the function is applied.
$$5\text{f}(x)$$ -
The output of $$\text{f}(x)$$ is multiplied by $$5$$
$$\text{f}(x)-5$$ -
The output of $$\text{f}(x)$$ has $$5$$ subtracted from it.
$$\text{f}(x-5)$$ -
The input has $$5$$ subtracted before the function is applied.
Exit quiz
6 Questions
