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Stage 4 - Stage 5

Transformations of Functions

Interactive practice questions

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Move the graph up by $4$4 units.

A

Move the graph down by $4$4 units.

B
Easy
Less than a minute

How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?

Consider the equation $y=4x$y=4x.

Suppose that the $x$x-values of the $x$x-intercepts of the graph of $y=f\left(x\right)$y=f(x) are $-5$5 and $6$6.

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