document.write( "Question 760887: f(x)=x^2-4x-5 i need help finding y intercept, x intercept, vertex, and axis of symmetry i am not grasping how to get the answer even after looking over other examples.. \n" ); document.write( "
Algebra.Com's Answer #462906 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! f(x)=x^2-4x-5 i need help finding y intercept, x intercept, vertex, and axis of symmetry \n" ); document.write( "*** \n" ); document.write( "y=x^2-4x-5 \n" ); document.write( "To find y-intercept, set x=0, then solve for y: \n" ); document.write( "y=0-0-5 \n" ); document.write( "y-intercept=-5 \n" ); document.write( ".. \n" ); document.write( "To find x-intercepts, set y=0 then solve for x: \n" ); document.write( "0=x^2-4x-5 \n" ); document.write( "factor: \n" ); document.write( "(x-5)(x+1)=0 \n" ); document.write( "x=5 \n" ); document.write( "and \n" ); document.write( "x=-1 \n" ); document.write( "x-intercepts are 5 and -1 \n" ); document.write( ".. \n" ); document.write( "To find the vertex: \n" ); document.write( "Complete the square to write equation in standard form: \n" ); document.write( "y=x^2-4x-5 \n" ); document.write( "y=(x^2-4x+4)-4-5 \n" ); document.write( "y=(x-2)^2-9 \n" ); document.write( "This is an equation of a parabola that opens upward. \n" ); document.write( "Its standard (vertex) form:y=(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex \n" ); document.write( "vertex: (2,-9) \n" ); document.write( "axis of symmetry: x=2 \n" ); document.write( "see graph below as a visual check: \n" ); document.write( " |