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.
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e08c0ed-2478-4250-8ecc-80933702ca06%2F184527ab-f004-4ed8-818c-1c2806fdc219%2Fjuu7foo_processed.png&w=3840&q=75)
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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