Modeling with Quadratic Functions

Instructions:

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question 1 of 3

A long jump can be modeled with the following function: f(x) = -.5(x - 0)(x - 7). What can you tell about the long jump from the equation if the x values represent the horizontal length and the y values represent the vertical height of the jump in feet?

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1. A path of a baseball can be modeled with f(x) = -.3x2 + 4x + 5. At what height did the batter hit the ball given the equation?

2. During a physics class, students are working on a project that measures a trajectory of a projectile fired straight upward in terms of its distance d (in feet) above the ground over the t seconds. The teacher provides the student with the following function that models the scenario d(t) = -162 + 400t. What is the maximum height the projectile can reach given the equation?

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About This Quiz & Worksheet

Using this quiz/worksheet combo, you will be able to quickly determine how much you know about the quadratic function as it is applied to modeling. You must be able to solve sample problems in order to successfully complete this quiz.

Quiz & Worksheet Goals

The main use of this assessment tool is to gauge your understanding of:

  • The modeling of a long jump and the path of a baseball using the quadratic function
  • The leading coefficient of a function
  • How a model is determined using a given parabola

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson, such as the use of a parabola
  • Problem solving - use acquired knowledge to solve sample quadratic function problems
  • Information recall - access the knowledge you've gained regarding coefficients

Additional Learning

Learn more about this complex topic using our easy-to-follow lesson titled Modeling with Quadratic Functions. This lesson will teach you the following:

  • The standard form of a quadratic function
  • Where the term 'parabola' comes from
  • What 'vertex' refers to
  • What to remember about the factored form of a quadratic function
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