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CanadaON
Grade 11

Transformations on quadratic graphs

Interactive practice questions

Consider the function $y=2x^2$y=2x2

a

Complete the following table of values.

$x$x $-2$2 $-1$1 $0$0 $1$1 $2$2
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Plot the graph.

Loading Graph...
c

For $y=ax^2$y=ax2, as $a$a increases, how does it change the graph of $y=x^2$y=x2?

Widens the graph

A

Narrows the graph

B

Reflects the graph across the $x$x-axis

C

Shifts the graph vertically

D
Easy
2min

This is a graph of $y=x^2$y=x2.

Easy
1min

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

Easy
3min

This is a graph of $y=x^2$y=x2.

Easy
1min
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Outcomes

11U.A.1.8

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = a f (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2 , f(x) = sqrt(x) and f(x) = 1/x

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