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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

AI-A.REI.4b

Solve quadratic equations by: i) inspection, ii) taking square roots, iii) factoring, iv) completing the square, v) the quadratic formula, and vi) graphing *Recognize when the process yields no real solutions.

AI-F.IF.5

Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.

AI-F.IF.7a

Graph linear, quadratic, and exponential functions and show key features.

AI-F.IF.8

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

AI-F.IF.8a

For a quadratic function, use an algebraic process to find zeros, maxima, minima, and symmetry of the graph, and interpret these in terms of context.

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