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that is the rule.....

Ok so the first one would be that it opens down correct?

thank-you:) Can I ask anither?

yes, the first one opens down. Right;)

And the second one opens where?

It opens us since it's poitive

yes

ok i guess you are done with this question... r u?

do you have any questions about this question ?

so the first one, is opening down w/ the vertex at an absolute maximum? I'm just checking

yes

the vertex in function 1 is absolute maximum

Ok thank-you:)

i don't understand this one

you don't understand the question, or don't know how to solve it?

I don't understand how to solve it

oh....ok...

yes. Yes I do

(C+D)²
when C=1 & D=@
is going to be
(1+2)²=3²=9
2(C+D)
2(1+2)=2(3)=6

the last option is going to be obviously smaller than or greater than the 3rd option ?

can you tell me?

so the answer would be c2+d2

hold on...

pliz answer my last question...

(you are trying to jump ahead to quickly:o)

smalleer :) Sorry

yes (no need for apologies).

)c+d)^2

Yes, (C+D)² is the largest, and this it is the answer you need:)

Any questions about this problem?

No. :)

OK.....

ok, this is a last question for this post. Alright>

Yea:)

h(x) = ?

h(x): graph parabola (1,-3) (3,5) (-1,5)

for h(x), if you were to graph the points:|dw:1435801328063:dw|

you can tell that (1,-3) is the vertex od the parabola.

ys it is the vertex

And that way we know that
\(\Large y=\color{red}{\rm a}(x-1)^2-3\)
part.

we know everything besides the scale factor (or the coefficient) we will use.

Ok. I understand everything so far. No worries:)

don't forget that this parabola that we are finding is the h(x)

Can you solve for a, please?

ok hold on

a=1/5

5=a(4)-3
5=a1
a=1/5

hello?

@SolomonZelman is it g(x), f(x), and then h(x) ? I'm sorry

this a that we found, we found for h(x).....

I see, I see

and x-axis of summetry (in this case) is just the x-coordinate of the vertex.

just "axis of summetry" (not "x-axis of summetry")

you need to complete the square for g(x)

So, h(x) axis of symmetry would be 1?

@SolomonZelman I have no idea how to do that

yes for h(x) it is 1

can you identify the axis of summetry for f(x) ?

-4

yes

So i don't get g(x)

we will do g(x)... do you undertsand my previousppost?

previous post*

yes

The x's?

when you have \(x^2-bx\) the number that you would like to add is \((b/2)^2\)

in this case
(8/2)² --> 4² --> 16

How would we add the number without changing the value of the function? like this....

\(\LARGE \color{black}{ \displaystyle g(x)=2(x^2-8x\color{blue}{+16}\color{red}{-16})+15 }\)

So far I haven't changed anything, I just added a "magic zero"

ok I see

so what is the axis of summetry for g(x) ?

so would be f(x), hx, gx

yes, now you need to list all axis of summetry in order from smallest to greatest.

go ahead...

fx, hx, gx

yes? No? Maybe so?

yes.
f , h, g.
-4, 1, 4.

Thank you so much:)