   Chapter 10.1, Problem 12E

Chapter
Section
Textbook Problem

Sketching a Parabola In Exercises 11–16, find the vertex, focus, and directrix of the parabola, and sketch its graph. ( x − 6 ) 6 − 2 ( y + 7 ) = 0

To determine
The vertex, Focus and directrix of the provided parabola.

Explanation

Given: (x6)22(y+7)= 0

Explanation: (x6)22(y+7)= 0

(x6)2=2(y+7)

The standard format of the parabola is (yh)2=4p(xk), where (h, k) is the vertex and the directrix is x = h – p and the focus is (h+p, k).

Here h= 6, k =-7, p = 1/2

Hence, the vertex of parabola given by (h, k) and focus is given by (h, k+p)

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