Quadratic Relations

Ontario 10 Academic (MPM2D)

Graph fully factored quadratics

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.

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Easy

Approx 5 minutes

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Determine, through investigation, and describe the connection between the factors of a quadratic expression and the x-intercepts (i.e., the zeros) of the graph of the corresponding quadratic relation, expressed in the form y = a(x – r)(x – s);