Question

Select the graph of y = – |x + 3| + 2

Answer 1

It will look something like this:

Answer 2

But that's just a hint.

Answer 3

not the actual graph

Answer 4

may you give me another hint? possibly another coordinate?.

Answer 5

As far as a hint goes, I've given you plenty. The only thing you need to figure out is the point where the actual vertex of the graph lies

Answer 6

but isn't the vertex 2?

Answer 7

nope..

Answer 8

The vertex is a coordinate with both an x-value and y-value. Right now, you have (x, 2). You have to figure out what x is.

Answer 9

think of it this way
this is a absolute value graph that is transformed
it is reflected over the x axis, translated 3 left and 2 up
so think of the vertex of a normal absolute function which is
(0,0) then apply those transformations onto it

Answer 10

Plug in what you have for y to solve for x.
y = -|x + 3| + 2
2 = -|x + 3| + 2
Solve for x. You should also notice a pattern. The two is a part of the vertex because it says plug 2. However, for horizontal shift, you do something with the x + 3 to get the x-value of the vertex.

Answer 11

thank you everyone i understand how easy this is lol. thank you very much.