Prompt: The parabola in the image has its focus at (4,3). Its directrix is the line y=1. The point (8,6) is on the parabola. Select all statements that are true. YA5-4-Select all of the statements that are true.AThe equation (x – 4)² + (y – 3)² = y represents this parabola.The equation (x –-4)² + (y– 3)² = (y – 1)² represents this parabola.CThe point (8,6) is the same distance from the point (4,3) as it is from the line y=1.The point (2,3) is on the parabola.The point (0.5,5) is on the parabola.FIf point (x,y) is on the parabola, then the distance between (x,y) and the point (4,3) is the same as the distance between (x,y) and the y-axisEGO

An upside parabola has equation of the form: (x-h)2=4a(y-k), where (h, k) is the vertex.From the…

Answered: Prompt: The parabola in the image has…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Prompt: The parabola in the image has its focus at (4,3). Its directrix is the line y=1. The point (8,6) is on the parabola. Select all statements that are true.

YA
5-
4-
Select all of the statements that are true.
A
The equation (x – 4)² + (y – 3)² = y represents this parabola.
The equation (x –-4)² + (y– 3)² = (y – 1)² represents this parabola.
C
The point (8,6) is the same distance from the point (4,3) as it is from the line y=1.
The point (2,3) is on the parabola.
The point (0.5,5) is on the parabola.
F
If point (x,y) is on the parabola, then the distance between (x,y) and the point (4,3) is the same as the distance between (x,y) and the y-axis
EGO

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