Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees counterclockwise about the origin and the resulting image is translated 6
units left, what are the coordinates of C"?

The coordinates of C" are (-7, 4)

Step-by-step explanation:

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

∴ C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

∵ x = -1 and y = 4

∴ C" = (-1 - 6, 4)

∴ C" = (-7, 4)

∴ The coordinates of C" are (-7, 4)

answer: a

step-by-step explanation:

10.2 units

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )