Aparabola is represented by the equation y = x2 + 6x − 17. the x-intercepts of the parabola . the y-intercept of the parabola . (if necessary, round your answers to the nearest hundredth.) nextreset

The x-intercept the value of x when y=0, i.e.
y=x^2+6x-17=0
The expression does not have rational factors, so we will resort to the quadratic equation to solve for x.
A=1
B=+6
C=-17
x=(-B +/- sqrt(B^2-4AC) ) / (2A)
=(-6 +/- sqrt(36+68) )/ (2)
=-3 +/- sqrt(26)
or
x=-3+sqrt(26)   or   -3-sqrt(26)   [intercepts of x]

The y-intercept of the equation is solving for y after setting x to zero.
i.e.
y=x^2+6x-17   when x=0
I'll leave this last task for you so as not to bore you!