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4.07 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

A-SSE.3a

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

F-IF.7b

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. b. Graph piecewise-defined functions, including step functions and absolute value functions.

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