List all the ways that the graph of the parent function y=x^2
would be transformed to create the graph of the new function y = −(x−1)^2−5
. Make sure you include how much it is shift and transformed. (3 points)
1. Reflection over the x-axis: The negative sign in front of the function means the graph will be reflected over the x-axis.
2. Horizontal shift right by 1 unit: The -1 inside the parenthesis means the graph will shift 1 unit to the right.
3. Vertical shift down by 5 units: The -5 at the end of the function means the graph will shift 5 units downwards.