Question

the function $y = 2|x - 3|$ is a function that was transformed from the parent function in which ways? (1 point)
vertical stretch by a factor of 2, horizontal translation 3 units left.
vertical stretch by a factor of 2, vertical translation 3 units down.
reflection over the a - axis, horizontal translation 3 units right
vertical stretch by a factor of 2, horizontal translation 3 units right

Explanation:

The parent function of an absolute - value function is $y = |x|$. For the function $y = 2|x - 3|$, the coefficient 2 in front of the absolute - value sign causes a vertical stretch by a factor of 2. The value inside the absolute - value sign, $x-3$, indicates a horizontal translation. The general rule for a horizontal translation of the function $y = f(x)$ to $y = f(x - h)$ is a shift of $h$ units to the right. Here $h = 3$, so it is a horizontal translation 3 units to the right.

Answer:

Vertical stretch by a factor of 2, horizontal translation 3 units right.