Mathematics

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?

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

2 Answer

  • 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

NEWS TODAY