Question

Select the inequality of the graph shown below.



y – |x + 10| + 3

y – |x – 10| + 3

y – |x – 10| + 3

y – |x + 10| + 3

Answer 1

i think the question is missing the inequality symbol
take a look

Answer 2

it sure is hold on

Answer 3

since the line is shaded in, and the graph shows the stuff below, rather than above, it should be \(y\leq \text{something}\)

Answer 4

from the picture you can recognize the vertex at \((-10,3)\) right?

Answer 5

C and D both have that one

Answer 6

A and B has a greater than or equal to sign

Answer 7

ok good
so now the question is, since the vertex is \((-10,3)\) should it be
\[y\leq |x+10|+3\] or
\[y\leq |x-10|+3\] must be one of those two

Answer 8

first off, you do see the vertex right? the point at the top?

Answer 9

is it C?

Answer 10

unfortunately no

Answer 11

dang it

Answer 12

so it has to be D

Answer 13

remember we found the vertex by setting the term inside the absolute value equal to zero
if \(x+10=0\) then \(x=-10\) so the graph is
\[y\leq -|x+10|+3\]

Answer 14

oh right right! thanks I understand :))

Answer 15

if the vertex is for example \((3,5)\) then it will be \(y=|x-3|+5\) but if the vertex is \((-3,5)\) for example, then it will be \(y=|x+3|+5\)

Answer 16

ok good!