NZ Level 6 (NZC) Level 1 (NCEA)
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Graph fully factored quadratics

Interactive practice questions

Consider the parabola $y=x\left(x+6\right)$y=x(x+6).

a

Find the $y$y value of the $y$y-intercept.

b

Find the $x$x values of the $x$x-intercepts.

Write all solutions on the same line separated by a comma.

c

State the equation of the axis of symmetry.

d

Find the coordinates of the turning point.

Turning point $=$=$\left(\editable{},\editable{}\right)$(,)

e

Plot the graph of the parabola.

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Easy
Approx 5 minutes
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Consider the equation $y=x\left(x+6\right)$y=x(x+6).

Consider the parabola $y=x\left(6-x\right)$y=x(6x).

Consider the parabola $y=\left(x-3\right)\left(x-1\right)$y=(x3)(x1).

Outcomes

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91028

Investigate relationships between tables, equations and graphs

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