Viola and paige stand next to each other and kick soccer balls in the air. the
path of viola's ball is described by the equation y=-3x2 + 6x + 3. the path of
paige's ball is shown by the graph.
in each function, x is the horizontal distance the ball travels in meters, and y
represents the height.
whose soccer ball reaches a greater height?
o
a. both soccer balls reach the same height
o
b. viola's soccer ball
o
c. paige's soccer ball

Step-by-step explanation:

To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.

So, we know that Viola's function is , as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.

Where b and a are from the general quadratic function: .

So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:

Then, we use the function to calculate the vertical coordinate of the vertex:

Therefore, the max altitude reached by Viola is 6 meters.

Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.

Therefore, Paige reached the higher height. The answer is C.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

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step-by-step explanation: