Transformation g(x)=-2(x+3)^3+1

Let's solve this problem step by step by setting the transformation a pattern function follows:

Step 1. Write the pattern function:

Step 2. Shift the graph 3 units to the left:

Step 3. Reflect the graph across the x-axis

Step 4. Stretch the graph vertically by a factor of 2

Step 5. Shift the graph 1 unit up

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

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: