05 Vertical Reflection
Instructions
Move the slider for a in the applet and answer the following questions based on your observations.
y = x² - 12x + 20 vs y = -(x² - 12x + 20)
Question 5.1
How do we obtain the graph of y = -(x² - 12x + 20) from the graph of y = x² - 12x + 20?
Question 5.2
The equation y = -(x² - 12x + 20) can be seen as replacing the variable y in the equation y = x² - 12x + 20 by the variable _____.
Question 5.3
What can be said about the x-intercepts of both curves?
Question 5.4
How is the graph of y = |x² - 12x + 20| related to the graphs of y = x² - 12x + 20 and y = -(x² - 12x + 20)? Explain your answer briefly.