Answer & Explanation
a) According to the table above,, that height of the ball first increases and then decreases, which looks like a quadratic function.
The coefficient a in the regression screen is negative because the height of the ball increases and then decreases, hence, the quadratic must open downward.
b) Using the quadratic regression model,
c) We have that, the vertex of the parabola provided by
The x coordinate of the vertex is 1.4
The vertex is where the height is at its highest.
The maximum height of the ball occurs 1.4 feet from where it was thrown and the maximum height is 8 feet.
a.) After the point at which horizontal distance is 1ft, the height decreases, and decreases more rapidly with time. It appears to be a quadratic function. So, the response is A.
The graph must open downwards, as the height first increase then decrease. So, the value of the coefficient of must be negative. So, the response is A.
c.) At vertex, the slope of the graph will be 0. Therefore, the function's differentiation will be zero. So,
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