Quadratic Relations

Consider the equation $y=-x^2$`y`=−`x`2

a

Complete the following table of values.

$x$x |
$-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |

$y$y |
$\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |

b

Plot the points in the table of values.

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c

Hence plot the curve.

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d

Are the $y$`y` values ever positive?

No

A

Yes

B

e

What is the maximum $y$`y` value?

f

Write down the equation of the axis of symmetry.

Easy

Approx 4 minutes

Consider the quadratic $y=3x^2$`y`=3`x`2.

Consider the quadratic equation $y=-2x^2$`y`=−2`x`2.

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Collect data that can be represented as a quadratic relation, from experiments using appropriate equipment and technology or from secondary sources, graph the data and draw a curve of best fit, if appropriate, with or without the use of technology