(a) Use rotation of axes to show that the following equation represents a parabola. (Write the equation in XY-coordinates. Use a rotation angle that satisfies 0 s os x/2 and that eliminates the xy-term.) 2√2(x + y)² = 7x + 9y (x-1)² = (4-Y) (b) Find the XY- and xy-coordinates of the vertex and focus. XY-coordinates vertex focus XY-coordinates xy-coordinates X (X,Y)=(1,-4 Need Help? Read It 65√2 16 (x, y) = (1,5 (c) Find the equation of the directrix in XY- and xy-coordinates. 65√/2 16 -63 16 X X ✓) ✓ (x, y) = ( (x, y) = ( xy-coordinates 5√2 2' 79√/2 32 " 3√2 2 47√/2 32 )
(a) Use rotation of axes to show that the following equation represents a parabola. (Write the equation in XY-coordinates. Use a rotation angle that satisfies 0 s os x/2 and that eliminates the xy-term.) 2√2(x + y)² = 7x + 9y (x-1)² = (4-Y) (b) Find the XY- and xy-coordinates of the vertex and focus. XY-coordinates vertex focus XY-coordinates xy-coordinates X (X,Y)=(1,-4 Need Help? Read It 65√2 16 (x, y) = (1,5 (c) Find the equation of the directrix in XY- and xy-coordinates. 65√/2 16 -63 16 X X ✓) ✓ (x, y) = ( (x, y) = ( xy-coordinates 5√2 2' 79√/2 32 " 3√2 2 47√/2 32 )
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
100%
Please correct the incorrect ones.
![(a) Use rotation of axes to show that the following equation represents a parabola. (Write the equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤ π/2 and that eliminates the xy-term.)
2√2(x + y)² = 7x + 9y
(x-1)² = ¹/(4-Y)
(b) Find the XY- and xy-coordinates of the vertex and focus.
vertex
focus
XY-coordinates
xy-coordinates
Need Help?
X
(x, y) =
Read It
(x, y) =
65√2
16
(c) Find the equation of the directrix in XY- and xy-coordinates.
65√2
16
XY-coordinates
1,- 4
1,
-63
16
(x, y) =
=
(x, y)
xy-coordinates
5√2
2
79√2
32
9
2
3√2
2
47√2
32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bf924c9-004f-4d6e-8ca9-cd3dfc457bd4%2F59dd0486-a6b1-415b-96ed-f7a3aa091bc2%2F3jwlrwd_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Use rotation of axes to show that the following equation represents a parabola. (Write the equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤ π/2 and that eliminates the xy-term.)
2√2(x + y)² = 7x + 9y
(x-1)² = ¹/(4-Y)
(b) Find the XY- and xy-coordinates of the vertex and focus.
vertex
focus
XY-coordinates
xy-coordinates
Need Help?
X
(x, y) =
Read It
(x, y) =
65√2
16
(c) Find the equation of the directrix in XY- and xy-coordinates.
65√2
16
XY-coordinates
1,- 4
1,
-63
16
(x, y) =
=
(x, y)
xy-coordinates
5√2
2
79√2
32
9
2
3√2
2
47√2
32
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