NZ Level 6 (NZC) Level 1 (NCEA)
Find the vertex and intercepts

## Interactive practice questions

A parabola is described by the following equation:

$y=x^2+4x$y=x2+4x

a

Find the $x$x values of the $x$x-intercepts of this parabola. Write both answers on the same line separated by a comma.

b

Find the $y$y value of the $y$y-intercept for this parabola.

c

What is the equation of the axis of symmetry for this parabola.

d

Find the coordinates of the vertex for this parabola.

Vertex $=$= $\left(\editable{},\editable{}\right)$(,)

e

Plot the graph for the parabola.

Easy
Approx 6 minutes

Consider the quadratic function $y=x^2+2x-8$y=x2+2x8.

Consider the quadratic function $y=-2x^2+16x-24$y=2x2+16x24.

The equation $y=x^2+2x-3$y=x2+2x3 represents a parabola.

### 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