A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus and the focal diameter is 8 cm. (Assume the vertex O is at the origin. Let the x-axi be horizontal and the y-axis be vertical.) 4 cm 4 cm 24 cm (a) Find an equation of the parabola. .C .D (b) Find the diameter d(C, D) of the opening, 24 cm from the vertex. (Round your answer to the nearest whole number.) cm

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 34E
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A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus and the focal diameter is 8 cm. (Assume the vertex O is at the origin. Let the x-axi
be horizontal and the y-axis be vertical.)
4 cm
4 cm
24 cm
(a) Find an equation of the parabola.
.C
.D
(b) Find the diameter d(C, D) of the opening, 24 cm from the vertex. (Round your answer to the nearest whole number.)
cm
Transcribed Image Text:A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus and the focal diameter is 8 cm. (Assume the vertex O is at the origin. Let the x-axi be horizontal and the y-axis be vertical.) 4 cm 4 cm 24 cm (a) Find an equation of the parabola. .C .D (b) Find the diameter d(C, D) of the opening, 24 cm from the vertex. (Round your answer to the nearest whole number.) cm
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