Respuesta :
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
Learn more on translation here: https://brainly.com/question/1046778