Which graph represents the function f(x) = (x – 5)2 + 3?
2 answers:
Given,
This depicts a quadratic (a vertically oriented parabola) opening upwards.
The vertex represents a minimum point—therefore, the vertex is located at
The domain covers all real numbers, indicated by the interval (-∞, ∞)
The range starts from 3 and extends to infinity, hence the interval is [3, ∞)
The axis of symmetry corresponds to the x-coordinate of the vertex
thus,
the axis of symmetry equals
Consequently,
please find the answer in the accompanying image
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Create a visual representation to depict the situation outlined below.
Let h signify the height of the tree.
Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB
This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m
Final result: 5.82 m
Let h signify the height of the tree.
Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB
This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m
Final result: 5.82 m