SOLUTION: I have four questions. 1) Find and label the vertex and the line of symetry f(x)=1/3x^2 2) Find the line of symetry f(x)=(x+2)^2 3) Nature of the solutions x^2-6=0 I

Question 194982: I have four questions.
1) Find and label the vertex and the line of symetry f(x)=1/3x^2
2) Find the line of symetry f(x)=(x+2)^2
3) Nature of the solutions x^2-6=0 I say 2 real solutions am I correct?
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? How many tickets will be sold on the first day?
Thanks in advance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
==============================================
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
==============================================
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.
==============================================
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.
-------------------------------------------------------
How many tickets will be sold on the first day?
N(0) = 14
===============
Cheers,
Stan H.

RELATED QUESTIONS
Find and label the vertex and line of symetry. graph the function f(x)=(x+2)^2 Thank... (answered by stanbon)

find the vertex, the line of symetry, and the maximum or minimum value of f(x). graph... (answered by Edwin McCravy)

Find the vertex, the line of symetry, and the maximum/minimum value of f(x). Graphe the... (answered by htmentor)

Find the vertex, line of symmetry and the minimum maximum value of f(x)... (answered by jim_thompson5910)

find the vertex, the line of symetry, the minumum/maximum value of the quadratic function (answered by oberobic)

find the vertex, the line of symetry, the max/min value of the quadratic unction and... (answered by oberobic)

1.Find and label the vertex and the line of symmetry f(x)=-2(x+2) (answered by Fombitz)

Please find the -y intercept x intercepts if any... (answered by Alan3354)

1.)F(x)= 2/x+4 -4 How do i find the x intercepts, y coodinates, equation for the axis of (answered by josgarithmetic)