Ontario 10 Applied (MFM2P)

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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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