Can someone please help with those. press the picture for all

proportional relationship does not exist.

proportional relationship does exist.

proportional relationship does not exist.

proportional relationship does exist.

Step-by-step explanation:

To establish proportionality :

For data 1:

y α x

y = kx ; k = proportionality constant

Take x = 1 ; y = 5

5 = k

k = 5

Hence, to obtain other data points :

y = 5x (if data is proportional ; if otherwise, the data isn't proportional).

Take ; x = 2

y = 5* 2 = 10

10 ≠ 9

Hence, data isn't proportional.

2.)

Data 2:

y α x

y = kx ; k = proportionality constant

Take x = hours 2 ; y = miles = 110

110 = 2k

k = 110/2

k = 55

Take ; x = 5

y = 55*5 = 275

275 = 275 (proportional relationship exist)

3.)

For the graph:

First graph isn't proportional

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 8 at x = 6

Hence, proportional relationship does not exist.

4.)

For the 2nd graph:

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 12 at x = 6

Hence, proportional relationship does exist.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.