Topics
4. Quadratics
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United States of AmericaUT
Math II

4.07 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

II.N.CN.9

Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

II.A.SSE.3.a

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

II.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

II.F.IF.7.a

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

II.F.IF.8

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

II.F.IF.8.b

Use the properties of exponents to interpret expressions for exponential functions.

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