i. Translate 3 units upward. ii. Translate 2 units to the left. iii. Reflect across the (x)-axis. iv. Reflect across the (y)-axis. v. Enlarge vertically by a factor of 4. vi. Enlarge horizontally by a factor of ( \frac12 ). The graph of ( y = x^2 ) is transformed to ( y = 3(x - 1)^2 + 5 ). Describe the sequence of transformations in order. 2. Matching equations with transformations (Multiple Choice) Which of the following represents the graph of ( y = -f(x + 2) ) if ( y = f(x) ) is the original graph?
Original: ( y = (x - 2)^2 + 1 ) Reflect in (x)-axis: ( y = -(x - 2)^2 - 1 ) Translate right 3: ( y = -( (x - 3) - 2)^2 - 1 ) Simplify: ( y = -(x - 5)^2 - 1 ) transformation of graph dse exercise
The questions cover translation, reflection, and scaling. 1. Basic transformations (Short Questions) (a) The graph of ( y = f(x) ) is given. Write the equation of the image after each transformation: Translate 2 units to the left