Question 194982
1) Find and label the vertex and the line of symetry f(x)=1/3x^2 
x^2 = 3y
(x-0)^2 = 3(y-0)
Vertex is (0,0)
Axis of symmetry is x = 0
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2) Find the line of symetry f(x)=(x+2)^2
(x+2)^2 = y-0
Since vertex is (-2,0), the axis of symmetry is x = -2
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3) Nature of the solutions x^2-6=0 I say 2 real solutions am I correct?
x = sqrt(6) and x = -sqrt(6)
Two Real Number solutions.
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4) Number of tickets sold each day is given by N(x)=-0.3x^2 +7.2x+14 where x is the number of days since the show was announced. 
When will the daily tickets sales peak? 
max occurs at x = -b/2a = -7.2(2*-0.3) = 12
Peak sales 12 days after the show was announced.
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How many tickets will be sold on the first day? 
N(0) = 14
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Cheers,
Stan H.