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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

F-IF.5

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

F-IF.7a

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.8a

Use the process of factoring and completing the square in a quadratic function to show zeros, maximum/minimum values, and symmetry of the graph, and interpret these in terms of a context.

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