Question

15) Describe the transformation that maps the pre-image A to the image A'.A) translated 8 units up and then reflected across the y-axisB) translated 8 units down and then reflected across the y-axisC)translated 1 unit to the left and then rotated 180° counterclockwise about the originD) translated 1 unit to the right and then rotated 180° counterclockwise about the origin

Answer 1

Verify each statement

option A ----> is not true

option B ----> is not true

option C

we have the coordinate ( 0,4)

translated 1 unit to the left

( 0,4)-----> (-1,4)

rotated 180° counterclockwise about the origin

the rule is

(x,y) ----> (-x,-y)

(-1,4) -----> (1,-4)

Compare the coordinates (1,-4) with the graph

the coordinates (-1,4) are correct

therefore

the answer is the option C