Maths-
General
Easy
Question
The function f(x)= - (x-1)2 +8 models the path of a volleyball. The height of a net is 7 ft 4 in. will the ball go over if the player is 2 ft from the net? Explain.
Hint:
The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h, k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
The correct answer is: As the height of the ball is less than the height of the net, the ball will not be able to go over the net
The path of the volleyball is given by the equation f(x)= - (x-1)2 +8
When the player is 2 ft from the net:
f(2) = -(2 - 1)² + 8
f(2) = -1 + 8 = 7 ft
As 7 ft < 7 ft 4 in, the ball will NOT go over the net
Final Answer:
As the height of the ball is less than the height of the net, the ball will not be able to go over the net.
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