Problem 3. Given the parabola y =;r a. Find the focus and directrix of the parabola. b. Show that any tangent to any parabola with a vertex at the origin will meet the x-axis at a point whose x value is half the x-value of the point of tangency. C. Find the angle made by the tangent to the parabola above at the point (4,1) with the x-axis. d. Find the slope of that tangent. Find the slope of the tangent to the point (x,y1). e.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
icon
Related questions
Question
How to do this problem?And for c the point is(4,4) not (4,1)
Problem 3. Given the parabola y=r
a. Find the focus and directrix of the parabola.
b. Show that any tangent to any parabola with a vertex at the origin will meet the x-axis at a point whose x
value is half the x-value of the point of tangency.
Find the angle made by the tangent to the parabola above at the point (4,1) with the x-axis.
d. Find the slope of that tangent.
Find the slope of the tangent to the point (x,Yı).
C.
e.
Transcribed Image Text:Problem 3. Given the parabola y=r a. Find the focus and directrix of the parabola. b. Show that any tangent to any parabola with a vertex at the origin will meet the x-axis at a point whose x value is half the x-value of the point of tangency. Find the angle made by the tangent to the parabola above at the point (4,1) with the x-axis. d. Find the slope of that tangent. Find the slope of the tangent to the point (x,Yı). C. e.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Cartesian Coordinates
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College