The graph of the function g(x) is a transformation of the parent function f(x)=x^2.

Which equation describes the function g?

The graph of the function gx is a transformation of the parent function fxx2 Which equation describes the function g class=

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Answer:

Option C. g(x) = x² - 4

Step-by-step explanation:

Since graph of a function is f(x) = x² so it's a parabola opening vertically up (symmetric to the y-axis).

Now when we transform this function by shifting (-4) on y-axis as shown, the parent function will shift down by 4 units.

Therefore the new function will be g(x) = x² - 4

Option C. g(x) = x² - 4 is the answer.

From the graph translates 4 units down, hence the resulting function will be f(x) = x^2 - 4

Transformation of coordinate

Given the parent functions expressed as:

f(x) = x^2

From the given graph, we can see that the graph translates 4 units down, hence the resulting function will be:

f(x) = x^2 - 4

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