Topics
10. Quadratics
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Algebra 1

10.07 Quadratics in factored form

Lesson
Practice

Interactive practice questions

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

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(6−x).

Easy
3min

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

Easy
3min
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Outcomes

A-SSE.3.a

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

F-IF.5*

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *Linear, exponential, and quadratic

F-IF.7.a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.8*

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. *Limited to linear, exponential, quadratic, absolute value, step, piecewise defined

F-IF.8.a

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.

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