4. Consider the following parabola with the focus at (6,2) and the directrix line at y = -6. (x, y) y I 10 9 8 -10-9-8-7-6-5-4-3-2-1 0 -1 -2 -3 2 3 (6,2) 567 8 9 10 y = -6 Part A: Use the distance formula to describe the distance from (x, y) to the focus. Part B: Use the distance formula to describe the distance from (x, y) to the directrix. Part C: Write the equation for the quadratic in standard form. Part D: Write the equation for the quadratic in vertex form.
4. Consider the following parabola with the focus at (6,2) and the directrix line at y = -6. (x, y) y I 10 9 8 -10-9-8-7-6-5-4-3-2-1 0 -1 -2 -3 2 3 (6,2) 567 8 9 10 y = -6 Part A: Use the distance formula to describe the distance from (x, y) to the focus. Part B: Use the distance formula to describe the distance from (x, y) to the directrix. Part C: Write the equation for the quadratic in standard form. Part D: Write the equation for the quadratic in vertex form.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Transcribed Image Text:4. Consider the following parabola with the focus at (6,2) and the directrix
line at y = -6.
y
107
9
8
7
*
(x, y)
(6,2)
-10-9-8-7
-3 -2 -1 0
7
-1
-2
-3
-4
-5
-7
-8
-10,
10%
y = -6
9 10
x
Part A: Use the distance formula to describe the distance from (x, y) to
the focus.
Part B: Use the distance formula to describe the distance from (x, y) to
the directrix.
Part C: Write the equation for the quadratic in standard form.
Part D: Write the equation for the quadratic in vertex form.
5.
A parabola has a focus of (4,-5) and the directrix is y = 8.
Which of the following functions model the parabola with the
characteristics above? Select all that apply.
0 x²-x+
□y=(x² - 8x - 23)
16
□(x-4)² +5
☐
□
- x² + 3x + ²
-(x-4)² +22
□ -(x-4)² +
6. A parabola has a focus located at (.) and a directrix at y =²
What is the equation for the parabola in standard form?
B
A y = ²x²_ -x+
15
16
y=-x² + 2x
y=-
²x² +
-²x² +
Dy=-=
8
15
16
77
128
-
-x
5
16
69
100
77
128
Transcribed Image Text:4. Consider the following parabola with the focus at (6,2) and the directrix
line at y = -6.
y
107
9
8
7
*
(x, y)
(6,2)
-10-9-8-7
-3 -2 -1 0
7
-1
-2
-3
-4
-5
-7
-8
-10,
10%
y = -6
9 10
x
Part A: Use the distance formula to describe the distance from (x, y) to
the focus.
Part B: Use the distance formula to describe the distance from (x, y) to
the directrix.
Part C: Write the equation for the quadratic in standard form.
Part D: Write the equation for the quadratic in vertex form.
5.
A parabola has a focus of (4,-5) and the directrix is y = 8.
Which of the following functions model the parabola with the
characteristics above? Select all that apply.
0 x²-x+
□y=(x² - 8x - 23)
16
□(x-4)² +5
☐
□
- x² + 3x + ²
-(x-4)² +22
□ -(x-4)² +
6. A parabola has a focus located at (.) and a directrix at y =²
What is the equation for the parabola in standard form?
B
A y = ²x²_ -x+
15
16
y=-x² + 2x
y=-
²x² +
-²x² +
Dy=-=
8
15
16
77
128
-
-x
5
16
69
100
77
128
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