Question

Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.

Answer 1

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

How to determine the equation of the graph?

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

Read more about quadratic equations at:

brainly.com/question/8649555

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