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Question 5

1 point
The point
Q(4,-5) has been translated from
P(2,-3). What is the translation as a vector?

([-2],[2])quad([2],[2])
A
B

([-2],[-2])quad([2],[-2])

C
D

Question $5$ $\newline$ * $1$ point $\newline$ The point $Q(4,-5)$ has been translated from $P(2,-3)$ . What is the translation as a vector? $\newline$ $\left(\begin{array}{c} -2 \\ 2 \end{array}\right) \quad\left(\begin{array}{l} 2 \\ 2 \end{array}\right)$ $\newline$ A $\newline$ B $\newline$ $\left(\begin{array}{l} -2 \\ -2 \end{array}\right) \quad\left(\begin{array}{c} 2 \\ -2 \end{array}\right)$ $\newline$ $\mathrm{C}$ $\newline$ D

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Find the magnitude of a vector

Full solution

Q. Question

5

\newline

*

1

point

\newline

The point

Q(4,-5)

has been translated from

P(2,-3)

. What is the translation as a vector?

\newline

\left(\begin{array}{c} -2 \\ 2 \end{array}\right) \quad\left(\begin{array}{l} 2 \\ 2 \end{array}\right)

\newline

A

\newline

B

\newline

\left(\begin{array}{l} -2 \\ -2 \end{array}\right) \quad\left(\begin{array}{c} 2 \\ -2 \end{array}\right)

\newline

\mathrm{C}

\newline

D

Subtract coordinates for $x$ : To find the translation vector, we subtract the coordinates of the original point $P$ from the coordinates of the translated point $Q$ .
Subtract coordinates for y: So, we do $(4 - 2)$ for the $x$ -coordinates and $(-5 - (-3))$ for the $y$ -coordinates.
Calculate x-coordinate: This gives us $(4 - 2) = 2$ for the x-coordinate and $(-5 + 3) = -2$ for the y-coordinate of the translation vector.
Calculate y-coordinate: Therefore, the translation vector is ( $[2]$ , $[-2]$ ).

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