Quadratic Equations

Hong Kong

Stage 4 - Stage 5

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.

Loading Graph...

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`(6−`x`).

Consider the parabola $y=\left(x-3\right)\left(x-1\right)$`y`=(`x`−3)(`x`−1).

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