Question

What’s the translation from the graph y=6x^2 to the graph y=6(x+1)^2

Answer 1

For this case, the main function is given by:

$y = 6x ^ 2$

We can apply the following transformation:

Horizontal displacements:

Assume h> 0:

To graph f (x + h) move the graph of f (x) h units to the left.

For h = 1 we have:

$y = 6 (x + 1) ^ 2$

Answer:

the graph y=6(x+1)^2 is the graph y=6x^2 moved 1 unit to the left.