SOLUTION: Find the vertex and axis of symmetry of the graph of the function. f(x) = -3x2 - 6x - 2 a. (-1, 1) ; x = -1 b. (2, -26) ; x = 2 c. (1, -11) ; x = 1 d. (-2, -

Algebra ->  Graphs -> SOLUTION: Find the vertex and axis of symmetry of the graph of the function. f(x) = -3x2 - 6x - 2 a. (-1, 1) ; x = -1 b. (2, -26) ; x = 2 c. (1, -11) ; x = 1 d. (-2, -      Log On


   



Question 1042786: Find the vertex and axis of symmetry of the graph of the function.
f(x) = -3x2 - 6x - 2
a. (-1, 1) ; x = -1
b. (2, -26) ; x = 2
c. (1, -11) ; x = 1
d. (-2, -8) ; x = -2

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = -3x^2 - 6x - 2
:
This is a parabola that curves downward
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The x-coordinate of the parabola's vertex is given by
:
x = -b / (2a) = -(-6) / (2(-3) = -1
:
substitute -1 for x in f(x)
:
y = -3(-1)^2 - 6(-1) -2 = 1
:
************************************************
answer is a)
vertex is (-1,1) and axis of symmetry is x = -1
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:
Here is a graph of the parabola
:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x%5E2+-+6x+-+2%29+
: