document.write( "Question 455122: find the range and domain and vertex and intercepts of a graph whose parabola is x^2+4x-5 \n" ); document.write( "

Algebra.Com's Answer #312462 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
find the range and domain and vertex and intercepts of a graph whose parabola is x^2+4x-5
\n" ); document.write( "..
\n" ); document.write( "Standard form of parabola: y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "y=x^2+4x-5
\n" ); document.write( "completing the square
\n" ); document.write( "y=(x^2+4x+4)-5-4
\n" ); document.write( "y=(x+2)^2-9
\n" ); document.write( "Parabola opens upwards with axis of symmetry at x=-2
\n" ); document.write( "..
\n" ); document.write( "Vertex: (-2,-9)
\n" ); document.write( "..
\n" ); document.write( "y-intercept
\n" ); document.write( "x=0
\n" ); document.write( "y=-5
\n" ); document.write( "..
\n" ); document.write( "x-intercept
\n" ); document.write( "y=0=x^2+4x-5
\n" ); document.write( "(x+5)(x-1)=0
\n" ); document.write( "x=-5
\n" ); document.write( "or x=1
\n" ); document.write( "..
\n" ); document.write( "Range:[-9,∞)
\n" ); document.write( "Domain:(-∞,∞)
\n" ); document.write( "See graph below for a visual check on the answers above.
\n" ); document.write( "..
\n" ); document.write( "y=x^2+4x-5\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2Cx%5E2%2B4x-5%29+\"$ \n" ); document.write( "

\n" );