Question

Point P is the image of P (5,-5) under translation by two units to the left and five units up

Answer 1

Answer:

The coordinate of P' = (3, 0)

Step-by-step explanation:

Given:

Point P coordinate = (5, -5)

Point P was translated by 2 units left and 5 units up to get P'

To find:

The coordinates of the image which is P'

To get the coordinate of P', we will move the point P by 2 units to the left (subtract 2 units from the x coordinate) and add 5 units to the y coordinate

`\begin{gathered} Translation\text{ rule:} \\ translation\text{ to the left: \lparen x, y\rparen}\rightarrow\text{ \lparen x-a, y\rparen} \\ where\text{ a is the number of units moved left} \\ \\ translation\text{ up: \lparen x, y\rparen}\rightarrow(x,\text{ y + b\rparen} \\ b\text{ is the number of units moved up} \end{gathered}`
`\begin{gathered} Applying\text{ the translation:} \\ a\text{ = 2 units and b = 5 units} \\ (5,\text{ -5\rparen }\rightarrow\text{ \lparen5 - 2, -5 +5\rparen} \\ =\text{ \lparen3, 0\rparen} \\ \\ The\text{ coordinate of P' = \lparen3, 0\rparen} \end{gathered}`