Ch 0 Graphing Functions by Esther Infinity

In our Ch. 0 Graphing Functions Project, we illustrated the different transformation graphs of five different functions.
1. The original parent function is y = x².
2. The vertical translation, with a function of y = x² - 3, is shown in blue. I moved the parent function down 3 units.
3. The horizontal translation, with a function of y= (x - 3)² , is shown in red. I moved the parent function 3 units to the right.
4. The vertical + horizontal translation, with a function of y = (x - 3)² - 3, is shown in purple. I moved the parent function 3 units to the right and 3 units down.
5. The horizontal reflection, with a function of y = (-x)² , is shown in pink. I flipped the parent function graph across the x-axis.
6. The vertical reflection, with a function of y = -x² , is shown in green. I flipped the parent function graph across the y-axis. Also, since the parent function and the horizontal reflection would equal the same, they have the same graph.
7. The vertical + horizontal translation + vertical reflection, which a function of y = | x - 3 | - 3, is shown in orange. I flipped the vertical + horizontal translation function (purple) across the y-axis.