Question

Solve and explain question

Answer 1

translation 4 units left, then a vertical compression with a factor of 1/2, followed by a reflection over the x-axis, and finally a translation 7 units down

Explanation:

If
`f(x)=x^2`, then
`-(1)/(2)(x+4)^2-7=-(1)/(2)f(x+4)-7`.

This represents a translation 4 units left, then a vertical compression with a factor of 1/2, followed by a reflection over the x-axis, and finally a translation 7 units down.