Which graph represents the function y – 3 = y minus 3 equals startfraction 3 over 2 endfraction left-parenthesis x minus 4 right-parenthesis.(x – 4)? a coordinate grid with a line passing through the points (0, negative 3) and (2, 0). a coordinate grid with a line passing through the points (negative 2, 0) and (0, negative 3). a coordinate grid with a line passing through the points (negative 4, negative 3) and (2, 1). a coordinate grid with a line passing through the points (negative 1, 1) and (1, 1).

A line passing through the points (0, negative 3) and (2, 0)

Step-by-step explanation:

we have

This is the equation of a line in point slope form

the slope is m=3/2

the point is (4,3)

Remember that

If a ordered pair lie on the given line, then the ordered pair must be satisfy the equation of the line

Verify each case

1)  a line passing through the points (0, negative 3) and (2, 0)

For x=0, y=-3

substitute

----> is true

The ordered pair (0,-3) lie on the given line

For x=2,y=0

----> is true

The ordered pair (2,0) lie on the given line

therefore

This graph represent the given function

2)  a line passing through the points (negative 2, 0) and (0, negative 3)

For x=-2, y=0

substitute

----> is not true

The ordered pair not lie on the given line

therefore

This graph not represent the given function

3)  a line passing through the points (negative 4, negative 3) and (2, 1)

For x=-4, y=-3

substitute

----> is not true

The ordered pair not lie on the given line

therefore

This graph not represent the given function

4)  a line passing through the points (negative 1, 1) and (1, 1).

For x=-1, y=1

substitute

----> is not true

The ordered pair not lie on the given line

therefore

This graph not represent the given function

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !