Question

For each of the following find the vertex, focus and equation of the directrix. You must sketch each parabola and label vertex(V), focus(F) and directrix D. 1. $x^2 - 10x + 12y + 13 = 0$ 2. $y^2 - 8x + 2y + 49 = 0$ 3. $x^2 + 2x - y + 8 = 0$ 4. $y^2 - 4y + 2x + 16 = 0$

          For each of the following find the vertex, focus and equation of the directrix.
You must sketch each parabola and label vertex(V), focus(F) and directrix D.
1. $x^2 - 10x + 12y + 13 = 0$
2. $y^2 - 8x + 2y + 49 = 0$
3. $x^2 + 2x - y + 8 = 0$
4. $y^2 - 4y + 2x + 16 = 0$

For each of the following find the vertex, focus and equation of the directrix.
You must sketch each parabola and label vertex(V), focus(F) and directrix D.
1. x^2 - 10x + 12y + 13 = 0
2. y^2 - 8x + 2y + 49 = 0
3. x^2 + 2x - y + 8 = 0
4. y^2 - 4y + 2x + 16 = 0

Added by Thomas H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/26/2023

Step 1

For the equation $x^2 + 10x + 12y + 13 = 0$, we first rewrite it in the standard form of a parabola with a horizontal axis: $x^2 + 10x = -12y - 13$ $x^2 + 10x + 25 = -12y - 13 + 25$ $(x + 5)^2 = -12y + 12$ $(x + 5)^2 = -12(y - 1)$ Now we can identify the Show more…

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For each of the following find the vertex, focus and equation of the directrix. You must sketch each parabola and label vertex(V), focus(F) and directrix D. 1. x^2 - 10x + 12y + 13 = 0 2. y^2 - 8x + 2y + 49 = 0 3. x^2 + 2x - y + 8 = 0 4. y^2 - 4y + 2x + 16 = 0