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If y=f(x), f(x)=x^2=6x+5 then what is y=|f(x)| graph

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mpumpkin | Salutatorian

Posted October 24, 2013 at 11:16 PM via web

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If y=f(x), f(x)=x^2=6x+5 then what is y=|f(x)|

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted October 24, 2013 at 11:32 PM (Answer #1)

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y = `|x^2 + 6x + 5|`

The graph of `y = x^2 + 6x + 5` looks like:

Table of values:

x |  y

-7,  12

-6,  5

-5,  0

-4,  -3

-3,  -4

-2,  -3

-1,  0

0,  5

Absolute value indicates the positive of all y values

Therefore, (-4, -3) will be (-4, 3) ;  (-3, -4) will be (-3, 4) ; and (-2, -3) will be (-2, 3).  The graph will look like this:

This graph is the solution to y=|f(x)|

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