Question 128351
The given conic is: 


{{{y = x^2 - 6x - 7 }}} 


To find the x-intercept put y = 0 



{{{x^2 - 6x - 7 = 0}}} 



{{{x^2 - 7x + x - 7 = 0 }}} 



{{{x(x - 7) + 1(x - 7) = 0 }}} 



(x + 1)(x - 7) = 0 



==> x = -1 or x = 7


these are 2 x - intercepts



To find the y- intercept put x = 0 



==> y = 0 - 6(0) - 7 



==> y = -7 



This is the one y intercept. 



Graph looks this way: 



{{{ graph( 600, 600, -15, 15, -20, 30, x^2 - 6x - 7) }}}