Przekształcanie wykresów funkcji - Przesuwanie wykresu o wektor - Matematyka Liceum i Technikum

In this video, I demonstrate how to transform function graphs by shifting by a vector. I teach how to use the general formula f(x−a)+bf(x−a)+b to describe the horizontal and vertical shift of a graph. I present the rules for creating new function formulas after shifting. I calculate new function formulas based on given shift vectors. I determine the shift vector by comparing the function formulas before and after the transformation. I analyze the vertical, horizontal, and both simultaneous shifts of linear, quadratic, inverse, and square-root functions. Table of Contents: 1. Shifting the Graph of a Function Vertically 2. Shifting the Graph of a Function Horizontally 3. Shifting the Graph of a Function Vertically and Horizontally Simultaneously 4. Applying the General Formula f(x − a) + b 5. Finding the Formula of a Function After a Shift – Example 1 6. Finding the Formula of a Function After a Shift – Example 2 7. Finding the Formula of a Function After a Shift – Example 3 8. Finding the Formula of a Function After a Shift – Example 4 9. Determining the Displacement Vector Using Formulas – Example 1 10. Determining the Displacement Vector Using Formulas – Example 2 11. Determining the Displacement Vector Using Formulas – Example 3 You can find more in the playlist:    • Wektory   and:    • Funkcje   You can get EASY ACCESS to all my math lessons using my website: www.matmagwiazdy.pl On this channel, you'll find full lectures - 100% of the lessons - on Mathematics for Elementary School, High School, and Technical School. Good luck :) Tomasz D. Gwiazda **CHAPTERS** 0:00 Shifting a Graph by a Vector 8:46 Exercises - Finding the Formula of a Function After a Shift 15:22 Exercises - How to Shift the Graph of the Function f(x) to Obtain the Graph of the Function g(x) **END**