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7.02 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

A.7c

Investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including zeros

A.7d

Investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including intercepts

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