document.write( "Question 621554: Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11) \n" ); document.write( "

Algebra.Com's Answer #390985 by lwsshak3(11628) $\"\"$ $\"About$

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Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11)
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex
\n" ); document.write( "using given coordinates of vertex:
\n" ); document.write( "y=A(x-1)^2-13
\n" ); document.write( "using given coordinates of y-intercept:
\n" ); document.write( "-11=A(0-1)^2-13
\n" ); document.write( "A=2
\n" ); document.write( "Equation of parabola: y=2(x-1)^2-13
\n" ); document.write( "x-intercepts
\n" ); document.write( "set y=0
\n" ); document.write( "0=2(x-1)^2-13
\n" ); document.write( "2(x-1)^2=13
\n" ); document.write( "(x-1)^2=13/2
\n" ); document.write( "x-1=ą√(13/2)
\n" ); document.write( "x=1ą√(13/2)
\n" ); document.write( "x=1ą2.55
\n" ); document.write( "x≈-1.55
\n" ); document.write( "or
\n" ); document.write( "x≈3.55
\n" ); document.write( "See graph below as visual check:\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C2%28x-1%29%5E2-13%29+\"$ \n" ); document.write( "

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