Topics
10. Quadratics
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United States of AmericaAZ
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

A1.A-SSE.B.3.a

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Factor a quadratic expression to reveal the zeros of the function it defines.

A1.A-APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Focus on quadratic and cubic polynomials in which linear and quadratic factors are available.

A1.F-IF.B.5

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

A1.F-IF.C.8.a

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the process of factoring and completing the square of 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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