-2 |x+5| +4 =2

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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

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