Question

A parabola is represented by the equation y = x2 + 6x − 17. The x-intercepts of the parabola are and .

Answer 1

X intercept are (-8.09,0) and (2.09,0)

Y intercept (o,-17)

Explanation:

Answer 2

f(x) = y = 0

`x^2+6x-17=0 \\\\ (x^2+6x+9)-9-17=0 \\\\ (x+3)^2=26 \\\\ √((x+3)^2)=√(26) \\\\ x+3=√(26) \ or \ x+3=-√(26) \\\\ x=√(26)-3 \ or \ x = -√(26)-3`

The x-intercepts of the parabola are
`√(26)-3 \ and \ -√(26)-3`