Question 5 of 8 The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter to as x^3. Do
not include "G(x) =" in your answer.

g(x) = (x - 1)^3

Step-by-step explanation:

There is a transformation called "horizontal translation"

For an initial function f(x), a horizontal translation of N is written as:

g(x) = f(x - N)

where if N is positive, we have a translation of N units to the right.

If N is negative, we have a translation of N units to the left.

Here, we can see that:

f(x) = x^3, such that when x = 0, f(0) = 0.

And g(x) seems to be a horizontal translation of f(x) (because the graph of g(x) is equidistant to the graph of f(x)), then:

g(x) = (x - N)^3

And we can see that when x = 0, g(0) = 1

Then:

g(0) = (0 - N)^3 = 1

          N^3 = 1

          N = ∛1 = 1

Then the equation for g(x) is:

g(x) = (x - 1)^3

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.