The graph of the function g(x) is a transformation of the parent function f(x)=x^2. Which equation describes the function g?
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Question
The graph of the function g(x) is a transformation of the parent function f(x)=x^2.
Which equation describes the function g?
Which equation describes the function g?
2 Answer

1. User Answers eudora
Answer:
Option C. g(x) = x²  4
Stepbystep explanation:
Since graph of a function is f(x) = x² so it's a parabola opening vertically up (symmetric to the yaxis).
Now when we transform this function by shifting (4) on yaxis 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.

2. User Answers abidemiokin
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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