Enlargement

L2MAEL

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Enlargement:

To enlarge a function, you have to stretch the graph both horizontally and vertically:

This has a very rare chance of appearing in the exam.

Vertical:

To stretch this function vertically, we have to multiply everything in the equation by the number that scales the new graph.

To do this, I can replace $y\to \frac{y}{q}$, since rearranging the equation (to make $y$ the subject) would make everything multiplied by $q$.

Therefore, for the vertical stretch, I would have to multiply everything by $q$, by replacing $y$ as $\frac{y}{q}$.

$y\to \frac{y}{q}$

Horizontal:

To stretch this function horizontally, we have to make the scale factor of the function lower. This makes it so that the graph is flattened.

To do this, I can replace $x\to \frac{x}{p}$, since this would be the same as changing the scale factor of the function $x$.

$x\to \frac{x}{p}$

Same as:

$x\to \frac{1}{p}(x)$