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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 16 mm halfway across a horizontal distance of 80 mm. Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. Part B: Identify the focus, directrix, and axis of symmetry of the parabola.

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 16 mm halfway across a horizontal distance of 80 mm. Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. Part B: Identify the focus, directrix, and axis of symmetry of the parabola.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Modeling the Jump of a Spider Using a Parabola** A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 16 mm halfway across a horizontal distance of 80 mm. **Part A:** Write the equation of the parabola in standard form that models the spider's jump. Show your work. **Part B:** Identify the focus, directrix, and axis of symmetry of the parabola.
Transcribed Image Text:**Modeling the Jump of a Spider Using a Parabola** A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 16 mm halfway across a horizontal distance of 80 mm. **Part A:** Write the equation of the parabola in standard form that models the spider's jump. Show your work. **Part B:** Identify the focus, directrix, and axis of symmetry of the parabola.
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