SOLUTION: Hi! Can you please help me solve this equation. Find the x and y intercepts of the graph of f f(x)= x^2+3x+2

Algebra ->  Coordinate-system -> SOLUTION: Hi! Can you please help me solve this equation. Find the x and y intercepts of the graph of f f(x)= x^2+3x+2      Log On


   

Question 1027516: Hi!
Can you please help me solve this equation.
Find the x and y intercepts of the graph of f
f(x)= x^2+3x+2
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%2B1%29%28x%2B2%29

x intercepts are x=-1 and x=-2.

y intercept is f%280%29=%280%2B1%29%280%2B2%29=1%2A2=highlight%282%29.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+x%5E2+%2B+3x+%2B+2+
You need to find 2 points:
( 0,y ) = the y-intercept
( x, 0 ) = the x-intercept
-----------------------
Find the y-intercept:
(0,y )
+f%28x%29+=+x%5E2+%2B+3x+%2B+2+
+f%280%29+=+0%5E2+%2B+3%2A0+%2B+2+
+f%280%29+=+2+
( 0, 2 ) = the y-intercept
------------------------
Find the x-intercept:
(x,0 )
+f%28x%29+=+x%5E2+%2B+3x+%2B+2+
+0+=+x%5E2+%2B+3x+%2B+2+
+0+=+%28+x+%2B2+%29%2A%28+x+%2B+1+%29+
+x+=+-2+
+x+=+-1+
---------------
There are 2 x-intercepts:
( -2,0 ) and
( -1, 0 )
----------------
Here's the plot of +f%28x%29+:
+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+x%5E2+%2B+3x+%2B+2+%29+
You can clearly see the x and y intercepts