document.write( "Question 528176: What is the x-intercept with the vertex(1,-17)and y-intercept(0,-16) \n" ); document.write( "
Algebra.Com's Answer #349539 by lwsshak3(11628)\"\" \"About 
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What is the x-intercept with the vertex(1,-17)and y-intercept(0,-16)
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\n" ); document.write( "With coordinates of vertex given,
\n" ); document.write( "equation can be written as follows:
\n" ); document.write( "y=(x-1)^2-17
\n" ); document.write( "To find the x-intercepts, set y=0 and solve for x
\n" ); document.write( "0=(x-1)^2-17
\n" ); document.write( "(x-1)^2=17 take sqrt of both sides
\n" ); document.write( "x-1=±√17≈±4.123
\n" ); document.write( "x=1+√17≈1+4.123≈5.123
\n" ); document.write( "or
\n" ); document.write( "x=1-√17≈1-4.123≈-3.123\r
\n" ); document.write( "\n" ); document.write( "note: y-intercept (0,-16) not needed to find x-intercepts
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