Question
100%
Section 6.1
ter 6
5. A satellite dish is a precise mathematical shape (a parabola) that has the property of focusing a
reflected signal at a single point. The scale drawing of a cross section of a 28 foot wide parabolic
satellite dish is shown on the graph where each square is 1ft x 1ft. The dish is designed using
the equation y = .04x22. The ordered pair solutions of the equation become the dimensions
necessary to build this amazing device.
04xOKt2
У
a)
Treat the x-axis as the ground and use
the equation to find the height of the
dish above the ground at the 2 foot
intervals shown on the graph. (i.e.
State all the ordered pairs shown on
the graph.)
Recall that the quadratic equation
b)
y = ax2 bx + c defines the geometric
11
parabola. It turns out that the focus
X
1
above
4а
point is located a distance
the bottom of the dish. Find this
distance for this satellite dish.
1
a
/
9(0.00)
O.16
6.a54t
Incoming signal
Reflected signal
Ocus Point
Retected signal
Incoming signal
expand button
Transcribed Image Text:Section 6.1 ter 6 5. A satellite dish is a precise mathematical shape (a parabola) that has the property of focusing a reflected signal at a single point. The scale drawing of a cross section of a 28 foot wide parabolic satellite dish is shown on the graph where each square is 1ft x 1ft. The dish is designed using the equation y = .04x22. The ordered pair solutions of the equation become the dimensions necessary to build this amazing device. 04xOKt2 У a) Treat the x-axis as the ground and use the equation to find the height of the dish above the ground at the 2 foot intervals shown on the graph. (i.e. State all the ordered pairs shown on the graph.) Recall that the quadratic equation b) y = ax2 bx + c defines the geometric 11 parabola. It turns out that the focus X 1 above 4а point is located a distance the bottom of the dish. Find this distance for this satellite dish. 1 a / 9(0.00) O.16 6.a54t Incoming signal Reflected signal Ocus Point Retected signal Incoming signal
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