If f(x) = x^2 is vertically stretched by a factor of 6 to g(x) and reflected over the x-axis, what is the equation for g(x)?

a. g(x) = (-6x)^2
b. g(x) = -6x^2
c. g(x) = x^2-6
d. g(x) = -x^2+6

Option B

Step-by-step explanation:

If the graph of the function  represents the transformations made to the graph of  then, by definition:

If   then the graph is compressed vertically by a factor c.

If   then the graph is stretched vertically by a factor c

If  then the graph is reflected on the x axis.

In this problem we have the function  

We now that this function  is vertically stretched by a factor of 6 to g(x) and reflected over the x-axis

Then    and

Therefore the graph of is

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step-by-step explanation:

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step-by-step explanation: