MathDB
Absolute Value Graphs

Source:

January 11, 2009
geometryrectangleanalytic geometry

Problem Statement

The graphs of y \equal{} \minus{}|x \minus{} a| \plus{} b and y \equal{} |x \minus{} c| \plus{} d intersect at points (2,5) (2,5) and (8,3) (8,3). Find a \plus{} c. <spanclass=latexbold>(A)</span> 7<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 10<spanclass=latexbold>(D)</span> 13<spanclass=latexbold>(E)</span> 18 <span class='latex-bold'>(A)</span>\ 7\qquad <span class='latex-bold'>(B)</span>\ 8\qquad <span class='latex-bold'>(C)</span>\ 10\qquad <span class='latex-bold'>(D)</span>\ 13\qquad <span class='latex-bold'>(E)</span>\ 18