document.write( "Question 196165: Determine the vertex (h,k) of $\"f%28x%29=+%28x-4%29%5E2-1\"$ \r
\n" ); document.write( "\n" ); document.write( "I am supposed to find the x intercept(s), y intercept(s) and graph the function. \r
\n" ); document.write( "\n" ); document.write( "Thank you in advance for your help. \n" ); document.write( "

Algebra.Com's Answer #147053 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Any value I pick for $\"x\"$ except $\"x+=+4\"$
\n" ); document.write( "will give me a value for $\"f%28x%29\"$ which is
\n" ); document.write( "greater than $\"-1\"$ by some amount, so
\n" ); document.write( "(4, -1) is a minimum vertex.
\n" ); document.write( "The x-intercept is where $\"f%28x%29=0\"$
\n" ); document.write( " $\"f%28x%29=+%28x-4%29%5E2-1\"$
\n" ); document.write( " $\"0+=+%28x-4%29%5E2+-+1\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "The x-intercepts are (5,0) and (3,0)
\n" ); document.write( "The y-intercept is where $\"x=0\"$
\n" ); document.write( " $\"f%28x%29=+%28x-4%29%5E2-1\"$
\n" ); document.write( " $\"f%28x%29=+%280-4%29%5E2-1\"$
\n" ); document.write( " $\"f%28x%29=+15\"$
\n" ); document.write( "The y-intercept is at (0,15)
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-2%2C+10%2C+-2%2C+20%2C+%28x-4%29%5E2+-+1%29+\"$
\n" ); document.write( " \n" ); document.write( "

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