topic badge
CanadaON
Grade 11

Graph fully factored quadratics

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.

Loading Graph...
Easy
4min

Consider the equation $y=x\left(x+6\right)$y=x(x+6).

Easy
4min

Consider the parabola $y=x\left(6-x\right)$y=x(6x).

Easy
3min

Consider the parabola $y=\left(x-3\right)\left(x-1\right)$y=(x3)(x1).

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11M.A.1.5

Determine, through investigation, and describe the connection between the factors used in solving a quadratic equation and the x-intercepts of the graph of the corresponding quadratic relation

11M.A.2.9

Sketch graphs of quadratic functions in the factored form f(x) = a(x – r )(x – s) by using the x-intercepts to determine the vertex

What is Mathspace

About Mathspace