Question

@mathstudent55

Answer 1

Take the equation of the second graph, and add 3 to both sides.
What do you get?

Answer 2

to the right 3 @mathstudent55

Answer 3

This is the equation of the second graph.

y = -2|x| - 3

Can you add 3 to both sides and show what you get?

Answer 4

y+3 = -2|x|

Answer 5

Great. That is correct. You see, you do deserve a medal.

Now notice that the second equation is just like the first equation, but with one difference.

First equation: y = -2|x|

Second equation: y + 3 = -2|x|

The difference is that in the second equation, you have y + 3 instead of y, right?

Answer 6

yes..

Answer 7

Good.

Now remember what we did in an earlier problem with a vertical translation.

When y is replaced by y - k, the graph is translated k units vertically.
If k is positive, the translation is up.
If k is negative, the translation is down.

Answer 8

We have y replaced by y + 3.
We need to write it as y - k, y minus a number.
y + 3 = y - (-3)
That means k is -3, a negative number.

Answer 9

y-k
y-3

Answer 10

two neg. make a positive y+3

Answer 11

Yes to your very last answer.

No to your previous answer.
Look what I wrote just above your next to last answer.
If you have y + 3, you can't just call it y - 3.
They are different.
What you do is you call it y - (-3) since two negatives make a positive.
y + 3 = y - (-3).
Now you have it in the form of y minus a number.
The number happens to be -3, a negative number.
That means a translation of 3 units down.

Answer 12

Now you can answer the question.

Answer 13

thanks.. I have like 6 more just like this >.<

Answer 14

I have to go.