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

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

x = 25/2304

step-by-step explanation: