Athena graphs the parabola (z+1) =-8(y– 6). How does she proceed? Drag a value, Coordinates, equation, or word to the boxes to correctly complete the statements. Athena identifies that the vertex of the parabola is (-1,6) The parabola opens and the focus is down units away from the vertex. The directrix is units from the focus. The focus is the point 4 (-1,4) The directrix of the equation is y = 8 Athena plots the vertex and focus, and graphs the directrix as a dashed line. She then draws the parabola so that the focus sits inside the curve and the directrix does not intersect it

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Is the directrix of the equation correct?
Athena graphs the parabola (x+1)² = -8(y – 6).
How does she proceed?
Drag a value, Coordinates, equation, or word to the boxes to correctly complete the statements.
Athena identifies that the vertex of the parabola is
(-1,6)
The parabola opens
down
and the focus is
units away from the vertex. The directrix is
units from the focus. The focus is the point
(-1,4)
The directrix of the equation is
y = 8
Athena plots the vertex and focus, and graphs the directrix as a dashed line. She then draws the parabola so that the focus sits
inside the curve and the directrix does not intersect it.
Transcribed Image Text:Athena graphs the parabola (x+1)² = -8(y – 6). How does she proceed? Drag a value, Coordinates, equation, or word to the boxes to correctly complete the statements. Athena identifies that the vertex of the parabola is (-1,6) The parabola opens down and the focus is units away from the vertex. The directrix is units from the focus. The focus is the point (-1,4) The directrix of the equation is y = 8 Athena plots the vertex and focus, and graphs the directrix as a dashed line. She then draws the parabola so that the focus sits inside the curve and the directrix does not intersect it.
(-1,4)
(-1,6)
(-3, 6)
2
4
8
x = 1
y = 4
y= 8
up
down
left
right
Transcribed Image Text:(-1,4) (-1,6) (-3, 6) 2 4 8 x = 1 y = 4 y= 8 up down left right
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