The graph of f(x) can be stretched vertically and flipped over the x-axis to produce the graph of g(x). if f(x) = x2, which of the following could be the equation of g(x)? a. g(x) = 4x2 b. g(x) = -1/4x2 c. g(x) = -4x2 d. g(x) = 1/4x2

The correct option is C.

Step-by-step explanation:

The given function is

The transformation of the function is defined as

If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.

It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.

The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).

Where must be greater than 1.

In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.

Therefore the correct option is C.

repeat the question

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: