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10.06 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

NC.M1.A-SSE.3

Write an equivalent form of a quadratic expression- ax^2 + bx + c, where a is an integer, by factoring to reveal the solutions of the equation or the zeros of the function the expression defines.

NC.M1.A-APR.3

Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.

NC.M1.F-IF.8

Use equivalent expressions to reveal and explain different properties of a function.

NC.M1.F-IF.8a

Rewrite a quadratic function to reveal and explain different key features of the function

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