topic badge

10.07 Quadratics in factored form

Interactive practice questions

Consider the parabola $y=x\left(x-4\right)$y=x(x4).

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 vertex.

Vertex $=$=$\left(\editable{},\editable{}\right)$(,)

e

Plot the graph of the parabola.

Loading Graph...
Easy
5min

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

Easy
6min

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

Easy
3min

Consider the parabola $y=\left(x-5\right)\left(x-3\right)$y=(x5)(x3).

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

Outcomes

A.SSE.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

F.IF.5b

Focus on linear, quadratic, and exponential functions.

F.IF.7a

Graph linear functions and indicate intercepts.

F.IF.8a.i

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. I. Focus on completing the square to quadratic functions with the leading coefficient of 1.

What is Mathspace

About Mathspace