Answer :
Answer:(0,2)
Step-by-step explanation:
Given: The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus.
The graph of the satellite dish is given by the equation [tex]x^2=8y[/tex]
Here, coefficient of y is positive, hence the parabola opens upwards.
On comparing this equation with standard equation [tex]x^2=4my[/tex], we get
[tex]4m=8\\\Rightarrow\ m=2[/tex]
In standard equation, coordinates of focus=(0,m)
Thus for given equation coordinates of focus=(0,2)
The coordinate of the focus of the parabola is (0, 2).
Given
The shape of a satellite dish can be described as parabolic.
What is the equation of parabola?
The path of the object shown in a plane curve generated by a moving point is called a parabola.
The equation of the parabola is;
[tex]\rm x^2=4ay[/tex]
Where a is the focus of the parabola.
The given equation of the parabola is;
[tex]\rm x^2=8y[/tex]
The coordinate of the focus of the parabola is (0, m).
On comparing both the equation
The focus of the parabola is;
[tex]\rm 4a=8\\\\a =\dfrac{8}{4}\\\\a=2[/tex]
Hence, the coordinate of the focus of the parabola is (0, 2).
To know more about Parabola click the link given below.
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