document.write( "Question 1128688: We are given the following equation: f(x)=x^2+25, and are asked to find the Vertex and the X-intercept(s). \n" ); document.write( "

Algebra.Com's Answer #745166 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E2%2B25\"$ , => parabola, opening up, has minimum\r
\n" ); document.write( "\n" ); document.write( "to find the Vertex, find minimum; set $\"x=0\"$
\n" ); document.write( " $\"f%28x%29=0%5E2+%2B+25+\"$
\n" ); document.write( " $\"f%28x%29=25+\"$
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\n" ); document.write( "minimum or vertex is at ( $\"0\"$ , $\"25\"$ )\r
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\n" ); document.write( "\n" ); document.write( "and to find the $\"x\"$ -intercept(s), set $\"f%28x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0=x%5E2%2B25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-25=x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=sqrt%28-25%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-5i\"$ or $\"x=5i\"$ => there is no $\"x\"$ -intercept(s)\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28600%2C+600%2C+-30%2C+30%2C+-30%2C+30%2C+x%5E2%2B25%29+\"$ \r
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