Question
upstudy study bank question image url

2.) The function \( g \) is related to one of the parent functions \( g(x)=x 2-3 \) The parent function is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).

Ask by Savage Rojas. in Ghana
Dec 28,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

\( g(x) = f(x) - 3 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Beyond the Answer

To express \( g \) in terms of the parent function \( f \), we need to take into account the transformation applied to the parent function. Here, \( g(x) = x^2 - 3 \) can be rewritten using \( f(x) \) as follows: \[ g(x) = f(x) - 3 \] This means \( g(x) \) is the result of taking the output of the parent function \( f(x) \) and then vertically shifting it down by 3 units.

Latest Algebra Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy