The graph of f(x) shown below has the same shape as the graph of g (x) = x^3 - x^2 but it is shifted to the left 1 unit what is the equation

f(x) = (x + 1)³ - (x + 1)² = x³ + 2 x² + x

Step-by-step explanation:

To shift g(x) to the left by one unit, replace all x in the expression of g(x) with (x + 1). How does this work? For example, g(x) = -2 for x = -1 in this question. f(x) = g(x + 1) may also equate -2, but only one unit to the left of x = -1 at x = -2 since -2 + 1 = -1. So is the case for the rest of the points on g(x). f(x) = g(x + 1) leads to the same set of values but only at one unit to the left. Adding one to the independent variable of g(x) shifts the graph to the left by one unit.

To find g(x + 1), replace every x in the equation x³ - x² with (x + 1):

f(x) = g(x + 1) = (x + 1)³ - (x + 1)².

Expand (x + 1)³ - (x + 1)² using the binomial theorem:

f(x) =  (x + 1)³ - (x + 1)² = x³ + 3 x² + 3 x + 1 - (x² + 2 x + 1) = x³ + 2 x² + x

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right