All About Transformation of Functions with Examples y = f(x)  g(x) = af[k(x – p)] + q

Function Symmetry :Symmetry of the function can be even, odd, or neither Even Symmetry of Function: Even function is symmetric about the y-axis and Algebraically f(-x)=f(x) Odd Symmetry of Function: Odd function is symmetric about the origin and Algebraically f(-x)=-f(x)    / @mathematicstutor   Learn From Anil Kumar: https://www.globalmathinstitute.com/c... Unit Test 2019: Functions with Thinking, Application and Communication questions    • How Many Right Triangles in Spiral Pattern...   Complete Test paper solved Domain and Range:    • Domain and Range of Functions f(x)=1/√(x-⌊...   #IBHL_Functions #IBSL_Functions #IBSLmath #AdvanceFunctions #SymmetryofFunctions #transformations #transformationoffunctions Basic Concept of Transformation of Functions y = f(x)  g(x) = af[k(x – p)] + q The function f(x) is one – to – one function. The point(2, -6) is on the f(x). For each transformation given, describe the transformation “in words” and then determine the new point. 7. g(x) = f(2x – 4) + 8 Given point(1, -3) is on the graph of y = f(x). Write the corresponding point on the graph of: a. y = f(x) + 3 b. y = f(x + 3) c. y = -f(-x) d. y = f-1(x) e. y = f(-x – 4) – 1 f. y = 1 – f(2x – 2)   A linear function has the equation y = 2x + 5 a. Write an equation for the line formed by reflecting the line in the y – axis. b. Write an equation for the line formed by reflecting the line in the x – axis. c. If the linear function is reflected through the line y = x, what is the equation of the new line?