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10.06 Transformations of quadratics

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

A1.IF.B.4

Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

A1.BF.A.1

Analyze the effect of translations and scale changes on functions.

A1.LQE.A.3

Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.

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