If y = 5x – 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(0, -4), (2, 6), (4, 20)}
{(0, -4), (2, 6), (4, 16)}
{(0,4), (2, 6), (4; 16)}
{(0,4), (2, -6), (4, 20)}

B

Step-by-step explanation:

Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.

(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True

(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True

(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False

(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True

(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs

Given a point P(x, y).

The x-coordinate of P represents the horizontal position. So to move point P horizontally, the change must be made at the x-coordinate.

Similarly, since the y-coordinate represents the vertical position of point P, a vertical shift means the y-coordinate needs to be changed.

The change is as follows, if a>0 and b>0

(x, y) → (x + a, y +b) shifts the point a units right, b units up

(x, y) → (x + a, y - b) shifts the point a units right, b units down

(x, y) → (x - a, y +b) shifts the point a units left, b units up

(x, y) → (x - a, y - b) shifts the point a units left, b units down

The translation 5 units up, 3 units left is described by the rule:

                               (x, y) → (x - 3, y + 5)