SOLUTION: how do you graph y = (x + 3)^2 - 2

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Question 721902: how do you graph y = (x + 3)^2 - 2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do you graph y = (x + 3)^2 - 2
This is an equation of a parabola.
Its standard form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
For given equation:y = (x + 3)^2 - 2
Vertex: (-3,-2)
Since lead coefficient >0, parabola opens upward
y-intercept
set x=0
y=9-2=7
x-intercepts
set y=0
(x+3)^2=2
x+3=±√2
x=-3±√2
You now have enough information to graph given equation
See graph below as a visual check:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x+%2B+3%29%5E2+-+2%29+