Question

Which of the graphs below correctly solves for x in the equation x^2 − 4x + 3 = x + 3?

Answer 1

i have plugged the x coordinates of the points in the x of the function and only graph that has the point (0,3) and (5,8) work and made both sides equal .. and that's answer choices A , B and , C so please help me.

Answer 2

http://assets.openstudy.com/updates/attachments/557a2a37e4b0636b8cc2f7da-doshka_syria-1434069633043-screenshot_1.png the second one here

Answer 3

@jim_thompson5910 @Luigi0210 @peachpi @ryamorgan284

Answer 4

Yes , i have uploaded them in order .. first one A and B and second one is C and D

Answer 5

Then, D

Answer 6

How? -5 doesn't work if you plug it in the function it doesn't make both sides equal.

Answer 7

this question only concerns the x-values... \[x^2-4x+3=x+3\]

Answer 8

we know 0 would work because

\[(0)^2-4(0)+3=0+3 \]
\[3=3\]

but since there are multiple coordinates, we need to figure out if there is more than one x value that satisfies the equation

Answer 9

there's 2 intersections... for your choices... so there's more than 1 common point

Answer 10

right, and i have done that and only the points (0,3) and (5,8) do satisfie that function

Answer 11

\[(5)^2-4(5)+3=5+3\]
\[25-20+3=5+3\]
\[5+3=5+3 \rightarrow 8=8\]
yeah that's correct...

Answer 12

\[(-5)^2-4(-5)+3=-5+3\]
\[25+20+3 \neq -2\]
\[48 \neq -2\]

Answer 13

i think it's the second graph because if you only graph f(x) = x+3 it will only give you a linear graph that it's line only matches the second one and the last one but since the last one doesn't satisfie the function it's not correct and it's B

Answer 14

it is the second graph.. the coordinates of (0,3)
and(5,8)

Answer 15

the mistake that i have made when i tried to graph it .. i graphed it like this f(x)=x2 − 4x + 3 = x + 3 .. i should have done the left side as one graph and the second one as another graph and see the final image.

Answer 16

Thanks a lot for your time and help. @UsukiDoll

Answer 17

oh... you have to split them up like
f(x) = x+3
f(x) = x^2-4x+3 and compare the two together to see if there's a common point.

Answer 18

aha , and that's what i did and the end

Answer 19

it helps to make a table like

x f(x) = x+3 f(x) =x^2-4x+3
0 3 3
1 4 0

Answer 20

that's how i knew B and those two points match and the others don't

Answer 21

whenever you see the same number... it's a solution to both f(x) =x+3 and f(x) = x^2-4x+3

Answer 22

Yes.