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2.02 Quadratic functions in factored form

Adaptive
Worksheet

Interactive practice questions

Consider the function: $y=\left(x-4\right)\left(x-2\right)$y=(x4)(x2)

a

State the $y$y-coordinate of the $y$y-intercept.

b

Find the $x$x-coordinates of the $x$x-intercepts. Write all solutions on the same line separated by a comma.

c

Give the coordinates for the $y$y-intercept and the $x$x-intercepts. Separate the $x$x-intercepts with a comma.

$y$y-intercept $=$= $\editable{}$

$x$x-intercepts $=$= $\editable{}$

d

Complete the table of values for the equation.

$x$x $-1$1 $1$1 $3$3 $5$5 $7$7
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
e

Find the coordinates of the vertex.

Vertex $=$=$\left(\editable{},\editable{}\right)$(,)

f

Plot the graph of the parabola.

Loading Graph...
Easy
4min

Consider the function $y=x\left(x+2\right)$y=x(x+2).

Easy
5min

Consider the graph.

Easy
3min

Consider the parabola $y=\left(1-x\right)\left(x-5\right)$y=(1x)(x5).

Medium
3min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.C.7

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

F.IF.C.7.A

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

F.IF.C.8

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

F.IF.C.8.A

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

F.BF.A.1

Write a function that describes a relationship between two quantities.

F.BF.A.1.A

Determine an explicit expression, a recursive process, or steps for calculation from a context.

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