Question

What is the graph of the absollute value of the equation?
y = |x + 3| – 4

Answer 1

This is the general rule for transformations. If you have a function, say absolute value, then you can write it as\[y=a \left| bx-c \right|+d\]

Answer 2

In this case, a is a vertical stretch by a, b is a horizontal shrink by b, c is a shift to the right by c, and d is a shift up by d.

Answer 3

So, we have c=-3 and d=4.

Answer 4

Sorry, d=-4.

Answer 5

This means that the function is being shifted 3 units left and 4 units down.

Answer 6

Does that make sense?

Answer 7

Kind of does let me show you what one i think it is... one sec

Answer 8

Is this the one it is?

Answer 9

That's the one!

Answer 10

Thank you both so much!

Answer 11

Yes it did!

Answer 12

Thank you also for the calculator it helped show me the steps as well!