Question

Select the graph of y = – |x + 3| + 2
(see below for answer choices)

Answer 1

A

Answer 2

lol now i bet you can do it yourself
what is the vertex of \(y=-|x+3|+2\) ?

Answer 3

b

Answer 4

c

Answer 5

d

Answer 6

so the real question is, since they all open down, which one has the right vertex?

Answer 7

can you help me figure that out? im not sure what you're asking

Answer 8

i.e. the real question is, what is the vertex of \(y=-|x+3|+2\) ?

Answer 9

remember what we did before, set the expression inside the absolute value equal to zero and solve, i.e. solve \(x+3=0\) which you can do in your head i am sure

Answer 10

x = -3

Answer 11

right!
and the second coordinate of the vertex is that \(2\) hanging out at the end, so the vertex is \((-3,2)\)

Answer 12

right so after that?

Answer 13

so look at the four graphs and pick the one that has the topmost point at \((-3,2)\)

Answer 14

i tried looking and i cant find it

Answer 15

i cant see the numbers very well

Answer 16

oo i think i found it

Answer 17

\((-3,2)\) means "left 3 units, up two units" and there is only one of those

Answer 18

is it A?

Answer 19

yup

Answer 20

Select the graph of y = |x + 2| – 7

Answer 21

walk me through that one and ill be done

Answer 22

ok don't post the graphs just yet, lets find the vertex first

Answer 23

alright

Answer 24

now it should be more or less routine
the first coordinate of the vertex, set \(x+2=0\) and you get ...

Answer 25

x = -2

Answer 26

got it
and of course the second coordinate is that \(-7\) out at the end, so vertex is \((-2,-7)\) now see if you can pick that one out before posting, although i will check it if you like
just post the one you think is right

Answer 27

looks good to me

Answer 28

yayyyy!

Answer 29

done?

Answer 30

yes i got a 100!

Answer 31

thanks so much

Answer 32

your quite welcome
now go enjoy something other than math!!