# 05 Vertical Reflection

- Author:
- Jason Lee

## 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.