Question

What is the equation of the graph below?

Answer 1

y = -2(x - 3)2 + 1
y = -2(x + 3)2 + 1
y = 2(x - 3)2 + 1
y = 2(x + 3)2 + 1

Answer 2

@cwrw238 PLZ HELP ME

Answer 3

@johnweldon1993

Answer 4

Alright...first off...we know this is parabola...so we know its gonna be some type of variation from

\[\large y = x^2\] right?

Answer 5

right

Answer 6

So if we look at that

Answer 7

Well we can see that yours is upside down....so that means we would have a



okay? So there, all we need to do is move it up 1...and then over to the right 3

any idea how to do that?

Answer 8

dont think i do :/

Answer 9

Put a smile on that pretty face :) that's why I'm here to help :)

Answer 10

:) thank you so much!

Answer 11

i know the answer will be either B or D

Answer 12

right?

Answer 13

So, we know that when we add or subtract a number from a function....we actually shift the graph up or down

For example:

\[\large y = x\] and \[\large y = x+1\]looks like

Answer 14

So here its the same thing....

We have an upside down parabola that starts at y = 0....and we want to shift it up to 1

so

\[\large y = -x^2 + 1\]

Answer 15

is it C?

Answer 16

Now we just need to figure out how to move it to the right by 3...

Well , for that we just add or subtract a number from the 'x'

if we add...we move to the left....if we subtract...to the right...so here we need to subtract 3 from the x

\[\large y = -(x - 3)^2 + 1\]

Answer 17

No it wouldnt be C because we need that '-' out in front to make it be upside down :)

Answer 18

oh A lol

Answer 19

I also have a question that's kind of similar to this one and I just want you to check my answer. I already have the answer. Do you mind?

Answer 20

Of course not :)

Answer 21

Thank you very much! so sweet!!

Answer 22

Just for you :)

Answer 23

Use the graph below to answer the following question:

Answer 24

What is the average rate of change from x = -1 to x = 1?

-4
-2
2 <------ MY ANSWER
4

Answer 25

Hmm....not quite what I get...

\[\large \frac{f(b) - f(a)}{b - a}\]

right?

Answer 26

yea

Answer 27

Or maybe I'm doing it wrong lol

we're at -3 at f(1) and 1 at f(-1)

so

\[\large \frac{-3 - 1}{1 - (-1)} = \frac{-4}{2} = -2\]

Answer 28

lol idk i'm confused now maybe i am xD

Answer 29

lol well as we are going from -1 to 1...we are essentially getting smaller and smaller y-values....so the rate of change is actually negative...hence the -2 :)

Answer 30

alright got it :P silly mistake!! thank you so much for ur time :)

Answer 31

Oh anything for you hun :)

Answer 32

:)

Answer 33

So if you need anything else feel free to ask <3