document.write( "Question 1197591: What is the vertex of the absolute value function f(X)=- the absolute value of X-5 -3, and does it open up, or down? \n" ); document.write( "

Algebra.Com's Answer #830917 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Any linear absolute value function $\"abs%28A%29\"$ opens up; any linear absolute value function $\"-abs%28A%29\"$ opens down. So your function $\"-abs%28x-5%29-3\"$ opens down.

\n" ); document.write( "The vertex of any linear absolute value function is when the expression inside the absolute value symbols is equal to 0. So in your example, the vertex is when
\n" ); document.write( "x-5 = 0
\n" ); document.write( "x = 5

\n" ); document.write( "To find the y value at the vertex, evaluate the function when the absolute value part is 0. For your example,
\n" ); document.write( " $\"f%285%29=-abs%285-5%29-3=0-3=-3\"$

\n" ); document.write( "The vertex is when x=5 and y=-3.

\n" ); document.write( "ANSWER: vertex(5,-3); opens down

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