Describe the transformation of f(x) represented by g(x) if f(x) = x^3 and g(x) = (- x)^3 + 2

The parent function is the simplest form of the type of function given.

f(x)=x^2

The transformation being described is from f(x)=x^2

to g(x)=(x−5)^2+3

Step-by-step explanation:

f(x)=x^2→g(x)=(x−5)^2+3

The horizontal shift depends on the value of h. The horizontal shift is described as:

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Hence, in the question above, Horizontal Shift: Right 5 Units

The vertical shift depends on the value of k. The vertical shift is described as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Therefore, in the question above, Vertical Shift: Up 3 Units

The graph is reflected about the x-axis when g(x)=−f(x)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when g(x)=f(−x)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of 'a'

.

When 'a' is greater than 1 : Vertically stretched

When 'a' is between 0 and 1 : Vertically compressed

Vertical Compression or Stretch: None

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.