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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
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Outcomes

A1.SSE.A.3

Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.

A1.SSE.A.3a

Find the zeros of a quadratic function by rewriting it in factored form.

A1.IF.B.4

Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

A1.IF.C.7

Graph functions expressed symbolically and identify and interpret key features of the graph.

A1.IF.C.8

Translate between different but equivalent forms of a function to reveal and explain properties of the function and interpret these in terms of a context.

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