The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).
The distance between the two edges is 120 centimeters.
The equation for the parabolic mirror is x + 32 = (2/225) · y².
How to analyze a parabolical mini-solar cooker
Herein we must understand the geometry of the design of the mini-solar cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:
[tex]y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}[/tex]
y = ± 60
The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.
Lastly, the equation of the parabolic mirror can be determined based on the equation of the parabola in vertex form:
x - h = C · (y - k)² (1)
Where:
h, k - Coordinates of the vertex
C - Vertex constant
If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:
0 + 32 = C · 60²
C = 2/225
Then, the equation for the parabolic mirror is x + 32 = (2/225) · y².
To learn more on parabolae: https://brainly.com/question/21685473
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