Question

Describe the Transformations :y=1/2(x+4)^2−8 please help

Answer 1

Answer:

a vertical compression by a factor of $\frac{1}{2}$, translated 4 units left, and a downward shift of 8 units.

Step-by-step explanation:

The transformed parabola has equation:

$y=\frac{1}{2}(x+4)^2-8$

The parent function is the parabola with the vertex at the origin, which is

$y=x^2$

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 $\frac{1}{2}$, translated 4 units left, and a downward shift of 8 units.