Question

Click on all that are true about the graph of y > x^2 + 4x + 4.

The parabola opens up.

The line of symmetry is y = -2.

The vertex is at (-2, 0).

The parabola is dashed.

The parabola is shaded outside.

Answer 1

@satellite73 @jim_thompson5910

Answer 2

how far did you get?

Answer 3

Umm... The first one and the last two..?

Answer 4

are you able to graph y = x^2 + 4x + 4 ?

Answer 5

I don't know... I don't have a graph

Answer 6

do you have a graphing calculator?

Answer 7

No...

Answer 8

ok, here is what the graph looks like

http://fooplot.com/plot/83f01cmra4

Answer 9

you can use that website to graph other functions as well

Answer 10

so where is the vertex on that blue parabolic curve?

Answer 11

Okay I don't understand...

Answer 12

are you able to see the graph/picture in that link I sent?

Answer 13

Yes

Answer 14

what does it look like?

Answer 15

It opens up, it is on -2, it is solid, but I don't know where it is shaded at

Answer 16

where is the lowest point as an ordered pair?

Answer 17

What?

Answer 18

for example, (-1,1) is on the graph but it is not the lowest point on this curve

Answer 19

do you see how (-1,1) is a point on the parabola?

Answer 20

No. I don't even know what a parabola is... I ask all my questions on here lol

Answer 21

Is it the first three answers?

Answer 22

a parabola is that bowl-shaped curve

Answer 23

Alright

Answer 24

the lowest point (when the parabola opens upward) is the vertex

Answer 25

what is the vertex of this parabola?

Answer 26

-2 ?

Answer 27

it has to be an ordered pair

Answer 28

in the form (x,y)

Answer 29

(-2, 0) ?

Answer 30

much better

Answer 31

you start at (0,0) and you go 2 units to the left since x =-2

and you don't move along the y axis since y = 0

Answer 32

The line of symmetry is y = -2.

that is false because the axis of symmetry is really x = -2

Answer 33

The statement "The line of symmetry is y = -2." would only be true if the parabola opened up sideways, but it does not.

Answer 34

So that covers the equation y = x^2 + 4x + 4

to graph y > x^2 + 4x + 4, we simply graph y = x^2 + 4x + 4, then we follow these steps

step 1) make the parabola a dashed line (because we do NOT include the boundary)

step 2) shade above the parabola (ie on the inside of it)

Answer 35

so "The parabola is dashed." is true

but "The parabola is shaded outside." is false

Answer 36

So it is the first, third, and fourth answers?

Answer 37

That is correct.

Answer 38

Thank you:) I have some other questions to post. Would you mind looking at them?

Answer 39

I'll help with 2 more