SOLUTION: Given f(x) = –2(x - 3)^2 + 6, explain how you know: a) the direction of opening for the parabola. b)the number of zeroes this parabola has.

Algebra ->  Graphs -> SOLUTION: Given f(x) = –2(x - 3)^2 + 6, explain how you know: a) the direction of opening for the parabola. b)the number of zeroes this parabola has.      Log On


   



Question 1091036: Given f(x) = –2(x - 3)^2 + 6, explain how you know:
a) the direction of opening for the parabola.
b)the number of zeroes this parabola has.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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f(x) = –2(x - 3)^2 + 6,
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Opens downward, and vertex is a maximum point. The factor -2 tells this. Factor is negative.

Two zeros. Vertex being at (3,6) and ABOVE the x-axis, and parabola opening DOWNWARD makes the graph cross the x-axis in two places.



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