NZ Level 7 (NZC) Level 2 (NCEA)
Determine the equation of a quadratic

## Interactive practice questions

A quadratic equation has solutions $x=\pm5$x=±5. What must the equation be?

$x^2$x2 $=$= $\editable{}$

Easy
Less than a minute

The nonzero solution of the equation $x\left(x+a\right)=0$x(x+a)=0 is $x=-1$x=1. What is the value of $a$a?

Form a monic quadratic equation which has solutions $x=0$x=0 and $x=-1$x=1.

Form a monic quadratic equation which has solutions $x=-3$x=3 and $x=-5$x=5. Express the equation in expanded form.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems