Points that remain unchanged under transformation can help verify your answer. E.g., reflection over x-axis: points on x-axis stay put.
, it is a horizontal stretch (the graph pulls away from the y-axis). Strategic Approach to DSE Exercises
is compressed horizontally to half its original width and then shifted upwards by 2 units to form . Find the new equation of in the form 4. Solutions and Explanations Answer 1: A Translate 3 units left →f(x+3)right arrow f of open paren x plus 3 close paren Step 2: Reflect in the -axis (multiply the whole function by -1negative 1
Draw the new graph and check if the changes match the algebraic operations (e.g., did a actually flip it upside down?). Sample DSE Exercise Problem: Let be a function. If the graph of
In the HKDSE Mathematics (Compulsory Part) syllabus, the Transformation of Graphs
Points that remain unchanged under transformation can help verify your answer. E.g., reflection over x-axis: points on x-axis stay put.
, it is a horizontal stretch (the graph pulls away from the y-axis). Strategic Approach to DSE Exercises
is compressed horizontally to half its original width and then shifted upwards by 2 units to form . Find the new equation of in the form 4. Solutions and Explanations Answer 1: A Translate 3 units left →f(x+3)right arrow f of open paren x plus 3 close paren Step 2: Reflect in the -axis (multiply the whole function by -1negative 1
Draw the new graph and check if the changes match the algebraic operations (e.g., did a actually flip it upside down?). Sample DSE Exercise Problem: Let be a function. If the graph of
In the HKDSE Mathematics (Compulsory Part) syllabus, the Transformation of Graphs