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The graphs below have the same shapes. What is the equation for the red graph?

Sagot :

The equation of the red graphed function is: g(x) = 1 - x².

How to Find the Equation of a Graphed Function?

Given the graph shown in the attachment below, the graphed function heads downwards, and the x - axis is intercepted at ( 1, 0 ) and (-1,0).

Thus, the x-intercepts, which is the zeros of the function, are: 1 and -1.

So, g(x) = (x + 1)(x -1)

Expand:

g(x) = 1 - x²

The equation of the red graph is: g(x) = 1 - x².

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