Answer:
a vertical compression by a factor of [tex]\frac{1}{2}[/tex], translated 4 units left, and a downward shift of 8 units.
Step-by-step explanation:
The transformed parabola has equation:
[tex]y=\frac{1}{2}(x+4)^2-8[/tex]
The parent function is the parabola with the vertex at the origin, which is
[tex]y=x^2[/tex]
The addition of 4 within the parenthesis means there is a shift 4 units to the left.
The subtraction of 8 means a downward shift of 8 units.
The multiplier of half means a vertical compression.
Therefore the transformations are a vertical compression of [tex]\frac{1}{2}[/tex], translated 4 units left, and a downward shift of 8 units.
