Question

Below is the graph of y=-x'.Translate it to make it the graph of y=-(x+3)2 - 1.

Answer 1

In order to translate the given graph to the required one, we will need an horizontal and a vertical translation.

For the horizontal translation, we need to see the change in the value of x.

We can see that x was switched to x + 3 in the new function, so we have a translation of 3 units to the left.

Then, for the vertical translation, we have to check a change in the value of y.

The value of y decreased by 1 unit (the number -1 at the end of the equation), so we have a translation of 1 unit down.

So the resulting graph is below, in blue: