Algebra – Discussion (Functions Transformation)
Post your answer to one of the following questions:
Find two ways of decomposing h(x) = (x-3)^2
State the order to follow when graphing a function requiring multiple transformations. Give an example.
Your post needs to be at least 100 words.
Comment on at least two (2) other classmates’ posts (“that was good”, “I agree with you”, or “you are correct” will not be considered substantial)
Your comments to your classmates’ posts need to be at least 50 words for each one
Reply to classmate below
B. The steps and order to follow when graphing a function are the following:
1. Horizontal Shift/ Translation
2. Horizontal and vertical stretch or shrink
3. Reflections across the x and y axes
4. Vertical Shift/ Translation
One example is the function: f(x)= -2(x+4)^2 +5The first thing we do is the horizontal shift, four to the left
Secondly, we apply the vertical stretch by 2
Next, we reflect the graph over the x-axis
Lastly, we can shift the graph upwards by 5 units.
All these steps above demonstrate the correct way to do multiple transformations of a function
