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.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.2: Parabolas
Problem 97E: Write the equation of a parabola that opens up or down in standard form and the equation of a...
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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.
Transcribed Image Text: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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