Vertices P parentheses five, -1 parentheses, Q, parentheses zero, eight parentheses, and are parentheses seven, five parentheses. It is translated write three units and up six units. Find the coordinates of pee, Q, and are.
The new coordinates of P can be found by adding 3 to the x-coordinate and 6 to the y-coordinate:
P': (5+3, -1+6) = (8, 5)
The new coordinates of Q can also be found the same way:
Q': (0+3, 8+6) = (3, 14)
And finally, the new coordinates of R:
R': (7+3, 5+6) = (10, 11)
Therefore, the new coordinates of P are (8, 5), the new coordinates of Q are (3, 14), and the new coordinates of R are (10, 11).
To find the coordinates of P, Q, and R after the translation, we need to apply the translation vector of "3 units to the right and 6 units up" to the original coordinates.
Let's start with the coordinates of P(5, -1):
To apply the translation, we add 3 to the x-coordinate and 6 to the y-coordinate:
P'(x, y) = P(5 + 3, -1 + 6) = P(8, 5)
Next, let's find the new coordinates for Q(0, 8):
Applying the translation, we add 3 to the x-coordinate and 6 to the y-coordinate:
Q'(x, y) = Q(0 + 3, 8 + 6) = Q(3, 14)
Lastly, we'll determine the new coordinates for R(7, 5):
By applying the translation, we add 3 to the x-coordinate and 6 to the y-coordinate:
R'(x, y) = R(7 + 3, 5 + 6) = R(10, 11)
Therefore, after the translation, the new coordinates are:
P(8, 5)
Q(3, 14)
R(10, 11)