Question

7: What transformations have been made from the parent graph

Answer 1

C. reflection in the x-axis, vertical stretch by 1/2, 3 units in the x-direction, and -4 units in the y-direction

Explanation:

We have that the parent function is the following:

`f(x)=\log_{\placeholder{⬚}}x`

We make the following transformations:

`f\left(x\right)=(1)/(2)\log _( )\left(-x+3\right)-4`

We graph both to be able to easily notice their changes:

And we have that it moves 3 units to the right (+3), it moves 4 units down (-4), it has a reflection in the x-axis (-x) and a vertical stretch by 1/2 (1/2 *).

Therefore, the correct answer is C. reflection in the x-axis, vertical stretch by 1/2, 3 units in the x-direction, and -4 units in the y-direction