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.
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 41E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea8be2a-b1da-472d-bbc4-91d8ae774356%2Fb972a41c-e1e2-4134-9470-c120a11ce47c%2Fq0h4z2p_processed.jpeg&w=3840&q=75)
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.
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