Suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.