solve by finding the intersecting points of the absolute value function

Algebra
Tutor: None Selected Time limit: 1 Day

-2 |x+5| +4 =2

Sep 29th, 2015

Thank you for the opportunity to help you with your question!

intersection points... I assume you mean the roots, i.e. where the graph crosses the x-axis 

-2|x+5| + 4 = 2  first, bring your 4 over

-2|x+5| = - 2   now get rid of your ‘times – 2 ‘

|x+5| = - 2 / -2 

 |x+5| = 1   since we’re dealing with absolute value,

x + 5 = 1   and   x + 5 = - 1 

x = 1 – 5 = - 4  x = - 1 – 5 = - 6

another way to figure this out is to find the vertex and slope of your function, i.e.

-2|x+5| + 4 = 2 

-2|x+5| + 4 – 2 = 0

-2|x+5| + 2 = 0

what number would x have to be for -2|x+5| to equal 0

the answer is -5, therefore, the vertex is at (-5,2)

find the slope à -2|x+5| + 2 = -2x -10 + 2 = -2x – 8  => slope = -2

if you graph this, you will find your roots (intersections) at -4 and -6


Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 29th, 2015

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