The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2
The equations are given as:
y = x^2 - 4
y = 4 - x^2
When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:
Zeros = -2 and 2
Because the upper x-axis is open upwards, the equation of the graph is:
y = -(x - zeros)
So, we have:
y - (x - 2)(x + 2)
Evaluate
y = 4 - x^2
Hence, the equation of the upper part is:
y = 4 - x^2; -2 < x < 2
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