aaliyabella14
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

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 X3 Do Not I class=

Sagot :

facundo3141592

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.