AnswersAlgebraic ReasoningGraphing Quadratic Functions — TestQuestion 16
16
QuizMultiple Choice

Graphing Quadratic Functions — Test

Question 16 • Algebraic Reasoning

The path of a football kicked by a field goal kicker can be modeled by the equation y is equal to negative 0 point 0 4 x squared plus 1 point 5 6 x , where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?

Answer
A
45 point 6 3 yd
B
19 point 5 yd
C
15 point 2 1 yd
D
38 point 9 4 yd

Explanation

The height reaches its maximum at the vertex of the parabola. For y = ax² + bx, the maximum height is −b²/(4a), so here it is −(1.56)²/[4(−0.04)] = 15.21 yards. Therefore, the approximate maximum height is 15.21 yd, choice D.

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