SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = x2 + 16x + 64

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = x2 + 16x + 64      Log On


   

Question 441527: Find the x- and y-intercepts. If no x-intercepts exist, state so.
f(x) = x2 + 16x + 64
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
By inspection, I see that
+x%5E2+%2B+16x+%2B+64+=+%28+x+%2B+8+%29%5E2+
To find x-intercepts,
+f%28x%29+=+0+
+%28+x+%2B+8+%29%5E2+=+0+
Take the square root of bpth sides
+x+%2B+8+=+0+
+x+=+-8+
The x-intercept is a "double root" at (-8,0)
Here's the plot:
+graph%28+400%2C+400%2C+-16%2C+2%2C+-2%2C+10%2C+x%5E2+%2B+16x+%2B+64%29+