Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

6 unit left

6 unit right

1 unit left

1 unit right

Verified Answer :

1 unit left, because what's inside the bracket with a plus sign goes left and if with a minus sign goes to right.

we know that

The vertex of the graph \(y=6x^{2}\)  is the point \((0,0)\)

The vertex of the graph \(y=6(x+1)^{2}\)  is the point \((-1,0)\)

so

the rule of the translation is

\((x,y)------> (x-1,y)\)

That means

one unit to the left

therefore

the answer is the option

1 unit left