document.write( "Question 812761: what is the y and x intercept of the graph function f(x)=-.20(x-7)^2+15 \n" ); document.write( "
Algebra.Com's Answer #489345 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
The y-intercept is the point where the graph crosses the y-axis,
\n" ); document.write( "which is the line \"x=0\" ,
\n" ); document.write( "or the y-coordinate of that point, since we know that the point has \"x=0\" .
\n" ); document.write( "We know it is only one point, because a function has at most one value of \"y=f%28x%29\" for each value of \"x\",
\n" ); document.write( "so for \"x=0\", there is just one value of \"y=f%28x%29\" .
\n" ); document.write( "In other words, the graph of a function cannot cross a vertical line (like \"x=0\" ) more than once.
\n" ); document.write( "\"system%28x=0%2Cy=-0.20%28x-7%29%5E2%2B15%29\" --> \"y=-0.20%280-7%29%5E2%2B15%29\" --> \"y=-0.20%2A%28-7%29%5E2%2B15%29\" --> \"y=-0.20%2A49%2B15%29\" --> \"y=-9.8%2B15%29\" --> \"highlight%28y=5.2%29%29\"
\n" ); document.write( "You would know if the answer is expected to be given as
\n" ); document.write( "\"highlight%28y=5.2%29%29\" or as \"highlight%28+%22%28+0+%2C+5.2+%29%22+%29\" .
\n" ); document.write( "
\n" ); document.write( "The x-intercept is the point (or points) where the graph crosses the x-axis,
\n" ); document.write( "which is the line \"y=0\" ,
\n" ); document.write( "or the x-coordinate of that point, since we know that the point has \"y=0\" .
\n" ); document.write( "\"system%28y=0%2Cy=-0.20%28x-7%29%5E2%2B15%29\" --> \"0=-0.20%28x-7%29%5E2%2B15%29\"-->\"0.20%28x-7%29%5E2=15%29\"-->\"%28x-7%29%5E2=15%2F0.20\"-->\"%28x-7%29%5E2=75\"-->\"system%28x-7=sqrt%2875%29%2C%22or%22%2Cx-7=-sqrt%2875%29%29\" -->\"highlight%28x=7+%2B-+sqrt%2875%29%29\" or \"highlight%28x=7+%2B-+5sqrt%283%29%29\" .
\n" ); document.write( "The approximate values, are \"x=-1.66\" and \"x=15.66\"
\n" ); document.write( "Again, you would know how you are expected to format the answer. \n" ); document.write( "
\n" );