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1.01 Translations and dilations of known functions

Interactive practice questions

Consider a graph of $y=4^x$y=4x.

a

How could the graph of $y=4^{-x}$y=4x be obtained from the graph of $y=4^x$y=4x?

by making it steeper

A

through a reflection across the $x$x-axis

B

through a reflection across the $y$y-axis

C

through a vertical translation

D
b

Given the graph of $y=4^x$y=4x, graph $y=4^{-x}$y=4x on the same set of axes.

Loading Graph...
Easy
1min

Consider the function $y=\left(x-6\right)^2$y=(x6)2.

Easy
3min

Consider a graph of $y=5^x$y=5x.

Easy
1min

Consider the parabola $y=x^2-3$y=x23.

Easy
2min
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Outcomes

MA12-1

uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts

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