New Zealand
Level 6 - NCEA Level 1

# Use vertex formula

## Interactive practice questions

Consider the parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a\ne0$a0

Fill in the gaps to make the statement true.

The $x$x-coordinate of the vertex of the parabola occurs at $x=\editable{}$x=. The $y$y-coordinate of the vertex is found by substituting $x=\editable{}$x= into the parabola's equation and evaluating the function at this value of $x$x.

Easy
Approx 2 minutes

What is the line $x=\frac{-b}{2a}$x=b2a on the parabola defined by the equation $y=ax^2+bx+c$y=ax2+bx+c ($a\ne0$a0)?

Consider the curve $y=x^2+6x+4$y=x2+6x+4.

Consider the function $P\left(x\right)=x^2-4x+2$P(x)=x24x+2.

### 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