document.write( "Question 769193: find the x-intercept of the parabola with vertex(-1,-17) and y intercept (0,-13). write your answer in this form (x1,y1) (x2,y2) \n" ); document.write( "
Algebra.Com's Answer #469360 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
find the x-intercept of the parabola with vertex(-1,-17) and y intercept (0,-13). write your answer in this form (x1,y1) (x2,y2)
\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, A=coefficient that affects the slope or steepness of the curve
\n" ); document.write( "..
\n" ); document.write( "solve for A using given coordinates of the vertex (-1,-17) and y-intercept (0,-13)
\n" ); document.write( " y=A(x-h)^2+k
\n" ); document.write( "-13=A(0+1)^2-17
\n" ); document.write( "-13=A-17
\n" ); document.write( "A=4
\n" ); document.write( "Equation of given parabola:
\n" ); document.write( "y=4(x-h)^2+k
\n" ); document.write( "to find x-intercepts set y=0
\n" ); document.write( "0=4(x+1)^2-17
\n" ); document.write( "4(x+1)^2=17
\n" ); document.write( "(x+1)^2=17/4
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x+1=±√17/2
\n" ); document.write( "x=-1±√17/2
\n" ); document.write( "x≈-3.06
\n" ); document.write( "or
\n" ); document.write( "x≈1.06
\n" ); document.write( "x-intercepts: (-3.06,0) and (1.06,0) \n" ); document.write( "
\n" );