Here are the solutions to the exercises. Use them to check your work and deepen your understanding.
The graph is transformed to ( y = f(-x) ). Solution: The minus sign is inside the bracket, which is a reflection in the y-axis. The y-coordinate remains the same, and the x-coordinate is multiplied by -1: [ P'(-2, -5) ] This transforms the point's x-coordinate across the vertical axis.
✅ Answer: A (f(2x) → compress horizontally by 1/2; +3 → shift up).
Transforming graphs is all about moving or resizing a parent function (like
: For quadratic transformations, converting the equation to vertex form makes identifying the translations much easier. 3. Recommended Practice Resources Past Papers
: Focus on Section B of Paper 1 and the late-question MCs in Paper 2 (typically Q35-Q40) where these concepts are frequently tested. Guided Tutorials DSE Transformations of Graphs
DSE Trap: Horizontal operations are counter-intuitive. Plus means left; minus means right. 🔵 Reflection (Flipping)
If ( g(x) = -f(x) + 5 ), then the graph of ( f ) is: a) Reflected in x-axis and up 5 b) Reflected in y-axis and up 5 c) Reflected in x-axis and down 5 d) Reflected in y-axis and down 5
We follow the correct order: translations last.
y=(−(x+2))2−3y equals open paren negative open paren x plus 2 close paren close paren squared minus 3
Here are the solutions to the exercises. Use them to check your work and deepen your understanding.
The graph is transformed to ( y = f(-x) ). Solution: The minus sign is inside the bracket, which is a reflection in the y-axis. The y-coordinate remains the same, and the x-coordinate is multiplied by -1: [ P'(-2, -5) ] This transforms the point's x-coordinate across the vertical axis.
✅ Answer: A (f(2x) → compress horizontally by 1/2; +3 → shift up). transformation of graph dse exercise
Transforming graphs is all about moving or resizing a parent function (like
: For quadratic transformations, converting the equation to vertex form makes identifying the translations much easier. 3. Recommended Practice Resources Past Papers Here are the solutions to the exercises
: Focus on Section B of Paper 1 and the late-question MCs in Paper 2 (typically Q35-Q40) where these concepts are frequently tested. Guided Tutorials DSE Transformations of Graphs
DSE Trap: Horizontal operations are counter-intuitive. Plus means left; minus means right. 🔵 Reflection (Flipping) Solution: The minus sign is inside the bracket,
If ( g(x) = -f(x) + 5 ), then the graph of ( f ) is: a) Reflected in x-axis and up 5 b) Reflected in y-axis and up 5 c) Reflected in x-axis and down 5 d) Reflected in y-axis and down 5
We follow the correct order: translations last.
y=(−(x+2))2−3y equals open paren negative open paren x plus 2 close paren close paren squared minus 3