document.write( "Question 528173: What is the x-intecept with the vertex(4,75) and y-intercept(0,27) \n" ); document.write( "
Algebra.Com's Answer #350051 by lwsshak3(11628)\"\" \"About 
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What is the x-intecept with the vertex(4,75) and y-intercept(0,27)
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\n" ); document.write( "Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex, A=multiplier which affects the steepness or slope of the curve.
\n" ); document.write( "For given problem:
\n" ); document.write( "y=A(x-4)^2+75
\n" ); document.write( "Solve for A using given point (0,27)
\n" ); document.write( "27=A(0-4)^2+75
\n" ); document.write( "27=16A+75
\n" ); document.write( "16A=27-75=-48
\n" ); document.write( "A=-3
\n" ); document.write( "Equation of given parabola:
\n" ); document.write( "y=-3(x-4)^2+75
\n" ); document.write( "solving for x-intercepts
\n" ); document.write( "set y=0
\n" ); document.write( "-3(x-4)^2+75=0
\n" ); document.write( "(x-4)^2=-75/-3=25
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x-4=±√25=±5
\n" ); document.write( "x=4±5
\n" ); document.write( "x=9
\n" ); document.write( "or
\n" ); document.write( "x=-1
\n" ); document.write( "se graph below as a visual check on answers:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+100%2C-3%28x-4%29%5E2%2B75%29+\" \n" ); document.write( "
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