The parent function y = |x| can be described as a V-shaped graph that passes through the origin (0, 0). It has symmetry about the y-axis.
The transformation y = |x - 1| - 5 involves shifting the graph of y = |x| horizontally 1 unit to the right and vertically 5 units downward.
The vertex of the new graph is (1, -5). It is the lowest point on the graph and represents the new "V" point.
The new graph remains symmetric about the vertical line x = 1.
Overall, the transformation y = |x - 1| - 5 can be described as a translation of the parent function y = |x| to the right by 1 unit and downward by 5 units, with the vertex occurring at (1, -5).
Describe the transformation of the parent function `y=\left|x\right|.`
`y=\left|x-1\right|-5`
1 answer
1 answer