Describe the transformation relative to the parent function. f(x)=(9x)^4. correct answer will get brainliest

If you start from the parent function , the only transformation performed is . In fact,

In general, a transformation like results in a horizontal stretch. If k>1, the function is compressed, if 0<k<1, the function is streched. If k is negative, the function is reflected around the y axis, and then you apply the logic just described.

So, in your case, k=9, which means that the graph is horizontally compressed by a factor 9.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)