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1.02 Sketching transformations of any function

Interactive practice questions

Consider the cubic function $y=-\frac{x^3}{4}+2$y=x34+2

a

Is the cubic increasing or decreasing from left to right?

Increasing

A

Decreasing

B
b

Is the function more or less steep than function $y=x^3$y=x3 ?

More steep

A

Less steep

B
c

What are the coordinates of the point of inflection of the function?

Inflection ($\editable{}$, $\editable{}$)

d

Plot the graph $y=-\frac{x^3}{4}+2$y=x34+2

Loading Graph...
Easy
2min

Consider the hyperbolic function $y=\frac{3}{x}-3$y=3x3

Easy
2min

Determine the equation of the new curve after performing the following transformations.

Easy
2min

A graph of $y=x^2$y=x2 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=4x^2-2$y=4x22.

Easy
1min
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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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