How many times does the graph of 4x = 32 - x2 cross the x-axis? 0 1 2 What are the solutions to the equation?

In order for the graph of a function of x to cross the x-axis, there must be a function of x. The given equation is an equation that is true only for specific values of x. It is not a function of x.

If you want to graph y = x^2 +4x -32, you will find it crosses the x-axis 2 times.

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About the attachment

The blue line is a graph of the left side of the given equation. It crosses the x-axis 1 time. The green curve is a graph of the right side of the given equation. It crosses the x-axis 2 times, in different places than the blue line. The x-values of the points where the blue and green curves intersect are the solutions to the equation.

The red curve is the proposed function of x (above). It crosses the x-axis 2 times.

jainveenamrata jainveenamrata · Answer 2 · 2022-06-10T14:01:44+02:00

The equation crosses the x-axis two times at (4, 0) and (-8, 0).

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

The expression is given below.

4x = 32 - x²

The equation can be written as

x² + 4x - 32 = 0

Then the factor of the equation will be

x² + 8x - 4x - 32 = 0

x(x + 8) - 4(x + 8) = 0

(x + 8)(x - 4) = 0

x = 4, -8

Then the equation crosses the x-axis two times at (4, 0) and (-8, 0).

The graph is shown below.

More about the function link is given below.

https://brainly.com/question/5245372

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