Question

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.

f(x) = x^2; shift 6 units to the left and reflect in the x-axis

Answer 1

`y=-(x+6)^2`

Explanation:

Shifting 6 units left, we get:

`x^2 \longrightarrow (x+6)^2`

Reflecting over the y-axis. we get:

`(x+6)^2 \longrightarrow -(x+6)^2`

So, the final equation is

`y=-(x+6)^2`