CHAPTER 11 / ESSENTIAL ALGEBRA 2 SKILLS 417
Concept Review 3: Transformations
- What equation describes the function y= f(x) after it has been shifted to the right five units?
- What equation describes the function y= x^2 5 after it has been reflected over the x-axis?
- How does the graph of y= 4 f(x) compare with the graph of y= f(x)?
- What specific features do the graphs of y= f(x) and y= f(x+ 15) have in common?
- What specific features do the graphs of y= f(x) and y= 6f(x) have in common?
- The quadratic function his given by h(x) = ax^2 + bx+ c, where ais a negative constant and cis a positive
constant. Which of the following could be the graph of y= h(x)? - The figure above is a graph showing the depth of water in a rectangular tank that is being drained at a con-
stant rate over time. Which of the following represents the graph of the situation in which the tank starts
with twice as much water, and the water drains out at twice the rate?