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CanadaON
Grade 10

Graph basic quadratics

Interactive practice questions

Consider the equation $y=-x^2$y=x2

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.

Loading Graph...
c

Hence plot the curve.

Loading Graph...
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
4min

Consider the quadratic $y=3x^2$y=3x2.

Easy
2min

Consider the quadratic equation $y=-2x^2$y=2x2.

Easy
2min
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Outcomes

10P.QR2.02

Determine, through investigation using technology, that a quadratic relation of the form y = ax^2 + bx + c (a ≠ 0) can be graphically represented as a parabola, and determine that the table of values yields a constant second difference

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