## 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.

Easy
Approx 5 minutes

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

#### 10P.QR2.04

Compare, through investigation using technology, the graphical representations of a quadratic relation in the form y = x^2 + bx + c and the same relation in the factored form y = (x – r)(x – s) (i.e., the graphs are the same), and describe the connections between each algebraic representation and the graph