Question 704343: Can someone please help me understand this question? I would like to know the process of how you come to the answers as I have a test tomorrow!
y=-2(x-3)^2+8
a)State the coordinates of the vertex
b)State whether is has a max or min value and what that is?
c)State the equation of the axis of symmetry
d)State the y-intercept.
If you could show me how you reach each answer..that would be amazing!
Thank you
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Here is help with (a) and (b):
(a)
Vertex will be at (h,k) for a parabola function in standard form, y=a(x-h)^2+k. Your given equation is in standard form so you can just read the values of h and k.
Meaning: vertex is (3,8)
(b)
The parabola has a minimum if a is positive, and the parabola has a maximum if a is negative. In the given equation, a=-2.
Meaning: vertex is a minimum
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