NZ Level 6 (NZC) Level 1 (NCEA)
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Maximum and minimum values of quadratics

Interactive practice questions

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

a

Is every value of $y$y positive?

No

A

Yes

B

No

A

Yes

B
b

The graph of $y=2x^2$y=2x2 is given below.

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State the axis of symmetry of the parabola.

c

What is the minimum value of $y$y?

$y$y$=$=$\editable{}$

Easy
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Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a>0$a>0

Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a<0$a<0

Consider the curve $y=2x^2-3$y=2x23.

Outcomes

NA6-4

Find optimal solutions, using numerical approaches

91028

Investigate relationships between tables, equations and graphs

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