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6.02 Discriminant

Interactive practice questions

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

a

Which of the following statements is true?

The vertex of the parabola is a maximum point.

A

The vertex of the parabola is a minimum point.

B
b

Each parabola below has an equation of the form $y=ax^2+bx+c$y=ax2+bx+c.

Select all the graphs for which $a>0$a>0

Loading Graph...

A

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B

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C

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D
Easy
< 1min

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{10\pm\sqrt{-1}}{8}$x=10±18

Easy
< 1min

How many real solutions are there to the equation $x^2=9$x2=9?

Easy
< 1min

How many real solutions are there to the equation $\left(x-7\right)^2=0$(x7)2=0?

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-2

uses the concepts of functions and relations to model, analyse and solve practical problems

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