Chapter 10: Q. 14 (page 699)

In Problem $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; vertex at $(2, - 3)$ ; focus at $(2, - 4)$

Short Answer

Expert verified

The equation of the parabola is ${(x - 2)}^{2} = - 4 (y + 3)$

Step by step solution

Step 1. Given Information

Vertex of parabola at $(2, - 3)$

Focus at $(2, - 4)$

Step 2. Calculation

Here, $(α, β) = (2, - 3)$

Then, $α = 2, β = - 3$

Now, $(α, a + β) = (2, - 4)$

Therefore, $a = - 1$

Step 3. Final answer

The equation of the parabola is

${(x - 2)}^{2} = - 4 (y + 3)$

Step 4. Graph

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In Problem $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; vertex at $(2, - 3)$ ; focus at $(2, - 4)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Final answer

Step 4. Graph

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In Problem 11-18, find an equation of the conic described. Graph the equation by hand.Parabola; vertex at(2,-3); focus at(2,-4)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Final answer

Step 4. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

In Problem $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; vertex at $(2, - 3)$ ; focus at $(2, - 4)$