document.write( "Question 1129023: A cliff diver’s height above the water, in
\n" ); document.write( "meters, is modeled by the function
\n" ); document.write( "ℎ(𝑑) = −𝑑^2 + 2𝑑 + 24, where d represents
\n" ); document.write( "how far the diver is from the cliff. How far
\n" ); document.write( "from the cliff will the diver be when she
\n" ); document.write( "reaches the water?
\n" ); document.write( "A. 0 meters
\n" ); document.write( "B. 4 meters
\n" ); document.write( "C. 6 meters
\n" ); document.write( "D. 24 meters \n" ); document.write( "

Algebra.Com's Answer #745567 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The maximum height, $\"+h%5Bmax%5D+\"$ is where
\n" ); document.write( "the diver starts. This is the vertex of a parabola
\n" ); document.write( " $\"+d%5Bv%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+a+=+-1+\"$
\n" ); document.write( " $\"+b+=+2+\"$
\n" ); document.write( " $\"+d%5Bv%5D+=+-2%2F%282%2A%28-1%29%29+\"$
\n" ); document.write( " $\"+d%5Bv%5D+=+1+\"$
\n" ); document.write( " $\"+h%281%29+=+-1%5E2+%2B+2%2A1+%2B+24+\"$
\n" ); document.write( " $\"+h%281%29+-1+%2B+2+%2B+24+\"$
\n" ); document.write( " $\"+h%281%29+=+25+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Find $\"+h%28d%29+=+0+\"$
\n" ); document.write( " $\"+-d%5E2+%2B+2d+%2B+24+=+0+\"$
\n" ); document.write( " $\"+%28+d+%2B+4+%29%2A%28-+d+%2B+6+%29+=+0+\"$
\n" ); document.write( " $\"+d+=+6+\"$
\n" ); document.write( "C. 6 meters is the answer I get.
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-7%2C+7%2C+-4%2C+30%2C+-x%5E2+%2B+2x+%2B+24%29+\"$
\n" ); document.write( "The diver has to start at $\"+d=0+\"$ . It looks like the
\n" ); document.write( "diver then jumps up 1 meter to 25 m above the water
\n" ); document.write( "and hits the water 6 m form the cliff.
\n" ); document.write( " \n" ); document.write( "

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