SOLUTION: What is the x- and y-intercept and the equation of the line symmetry for: {{{y=x exponent 2 + 6x +8}}}

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Question 12486: What is the x- and y-intercept and the equation of the line symmetry for:
y=x+exponent+2+%2B+6x+%2B8
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2+%2B+6x+%2B+8

This is a parabola, that opens upward.

The x-intercept (where y=0), is at
0=x%5E2+%2B+6x+%2B+8
0= (x+2)(x+4)
x = -2, x= -4.

Y-intercept is where x=0.
+y+=+0%5E2+%2B6%2A0+%2B8
y=8

Line of symmetry is always halfway between the intercepts, which would be halfway between x=-2 and x= -4. Line of symmetry is the line x= -3.

Graph looks like this:
+graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+%2B+6x+%2B8%29+

R^2 at SCC