document.write( "Question 414397: how do i solve and graph y=x^2+6x-7? i know i have to use x=-b/2a but i'm confused on exactly how this works. i've been sick and have missed 4 days of school and need help. thanks! \n" ); document.write( "
Algebra.Com's Answer #290662 by woolybear(13)![]() ![]() You can put this solution on YOUR website! y=x^(2)+6x-7\r \n" ); document.write( "\n" ); document.write( "To find the x-intercept, substitute in 0 for y and solve for x. \n" ); document.write( "(0)=x^(2)+6x-7\r \n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "x^(2)+6x-7=(0)\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 0. \n" ); document.write( "x^(2)+6x-7=0\r \n" ); document.write( "\n" ); document.write( "In this problem 7*-1=-7 and 7-1=6, so insert 7 as the right hand term of one factor and -1 as the right-hand term of the other factor. \n" ); document.write( "(x+7)(x-1)=0\r \n" ); document.write( "\n" ); document.write( "Set each of the factors of the left-hand side of the equation equal to 0. \n" ); document.write( "x+7=0_x-1=0\r \n" ); document.write( "\n" ); document.write( "Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides. \n" ); document.write( "x=-7_x-1=0\r \n" ); document.write( "\n" ); document.write( "Set each of the factors of the left-hand side of the equation equal to 0. \n" ); document.write( "x=-7_x-1=0\r \n" ); document.write( "\n" ); document.write( "Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides. \n" ); document.write( "x=-7_x=1\r \n" ); document.write( "\n" ); document.write( "The complete solution is the set of the individual solutions. \n" ); document.write( "x=-7,1\r \n" ); document.write( "\n" ); document.write( "To find the y-intercept, substitute in 0 for x and solve for y. \n" ); document.write( "y=(0)^(2)+6(0)-7\r \n" ); document.write( "\n" ); document.write( "Expand the exponent (2) to the expression. \n" ); document.write( "y=(0^(2))+6(0)-7\r \n" ); document.write( "\n" ); document.write( "Squaring a number is the same as multiplying the number by itself (0*0). In this case, 0 squared is 0. \n" ); document.write( "y=(0)+6(0)-7\r \n" ); document.write( "\n" ); document.write( "Multiply 6 by each term inside the parentheses. \n" ); document.write( "y=0+0-7\r \n" ); document.write( "\n" ); document.write( "Solve the equation. \n" ); document.write( "y=-7\r \n" ); document.write( "\n" ); document.write( "These are the x and y intercepts of the equation y=x^(2)+6x-7. \n" ); document.write( "x=-7,1, y=-7 \n" ); document.write( " |