We appreciate your visit to Find the quadratic function tex f x ax 2 bx c tex for which tex f 1 10 tex tex f 3 46 tex and. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The quadratic function satisfying the given conditions is f(x) = 2x² - 5x - 7.
To find the quadratic function f(x)= ax²+bx+c with the given values f(1)=-10, f(-3)=46, and f(3)=-2, we can set up a system of equations:
a[tex](1)^2[/tex] + b(1) + c = -10
a[tex](-3)^2[/tex] + b(-3) + c = 46
a[tex](3)^2[/tex] + b(3) + c = -2
By substituting and simplifying, these become:
a + b + c = -10
9a - 3b + c = 46
9a + 3b + c = -2
Through a process of elimination and substitution, we determine that:
a = 2
b = -5
c = -7
Therefore, the quadratic function is f(x) = 2x² - 5x - 7.
Thanks for taking the time to read Find the quadratic function tex f x ax 2 bx c tex for which tex f 1 10 tex tex f 3 46 tex and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
