which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?\n6 unit…

Explanation:

Step1: Recall graph - translation rule

For a function $y = f(x)$, the graph of $y=f(x + h)$ is a horizontal translation of the graph of $y = f(x)$. If $h>0$, the graph is shifted $h$ units to the left; if $h < 0$, the graph is shifted $|h|$ units to the right.

Step2: Identify the value of $h$

In the functions $y = 6x^{2}$ and $y=6(x + 1)^{2}$, comparing with $y = f(x)$ and $y=f(x + h)$, we have $f(x)=6x^{2}$ and $h = 1$.

Answer:

C. 1 unit left