Question

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

Answer 1

The equation for the red graph is f(x)=-x^2.

The question is an incomplete graph of a function is missing

For a complete question refer to the graph attached below

we have $g(x)=4-x^2$

The vertex of the function g(x) is the point (0,4)

The vertex of the function f(x) is the point (0,0)

What is the vertex?

This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

So, the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

The translation is 4 units down

The equation of the function f(x) is

$f(x)=g(x)-4$

$f(x)=(4-x^2)-4$

$f(x)=-x^2$

Therefore, The answer is f(x)=-x^2

To learn more about the graph visit:

brainly.com/question/4025726

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