Question

Which of the following tables shows the correct steps to transform x2 + 6x + 8 = 0 into the form (x - p)2 = q?
[p and q are integers]

Answer 1

Step 1 x2 + 6x + 8 - 1 = 0 - 1
Step 2 x2 + 6x + 7 = -1
Step 3 (x + 3)2 = -1


Step 1 x2 + 6x + 8 + 1 = 0 + 1
Step 2 x2 + 6x + 9 = 1
Step 3 (x + 3)2 = 1


Step 1 x2 + 6x + 8 - 2 = 0 - 2
Step 2 x2 + 6x + 6 = -2
Step 3 (x + 3)2 = -2


Step 1 x2 + 6x + 8 + 2 = 0 + 2
Step 2 x2 + 6x + 10 = 2
Step 3 (x + 3)2 = 2

Answer 2

@amistre64 @ganeshie8 @beccaboo333

Answer 3

well, how would you go about it?

Answer 4

what is (x+3)^2?

Answer 5

what is it factored?

Answer 6

no, what is (x+3)^2 when we expand it into a trinomial? if FOIL sounds familar then work it

Answer 7

I haven't learned foil

Answer 8

have you learned to multiply binomials?

Answer 9

yes

Answer 10

all FOIL is is some memory device used to remember how to multiply binomials .... i find it to be utterly useless myself.

(x+3)^2 = (x+3)(x+3) = ____ + _____ + _____

Answer 11

so multiply (x+3)(x+3)?

Answer 12

of course ....

Answer 13

we are simply working backwards to see what step2 needs to look like.

Answer 14

x^2+6x+9

Answer 15

correct, now which options has that as the correct step2?

Answer 16

i don't see one that does

Answer 17

wait nvm its the second one

Answer 18

:) yeah

Answer 19

okay thank you , do you think you could try and help with another question?

Answer 20

maybe one more

Answer 21

Functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 - 10x + 25

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Right by 5 units

Left by 5 units

Right by 10 units

Left by 10 units

Answer 22

I take that as a no?

Answer 23

take what as a no?

Answer 24

let x=0, what do we get?

Answer 25

for which one

Answer 26

both of them ... we can compare the results. unless you know of a different way to approach it.

Answer 27

do you know how to find a vertex yet?

Answer 28

the first one is 0 the second one is 15 and yes

Answer 29

its either the first or second one

Answer 30

lets determine the x value of the vertex for g then, that should help determine where they moved it to :)

Answer 31

(5,0) is the vertex for g

Answer 32

then they moved f(0,0) to g(5,0)

which option shows this movement?

Answer 33

b?

Answer 34

i think its moved to the right by 5 .... as long as my directions arent messsed up lol

Answer 35

gotcha, lol thank you!!

Answer 36

youre welcome ;)

Answer 37

@mathmorelikeno