Question

on the coordinate plane below.
which of the following transformations will change the coordinates of c to (0, -4)?
a. a rotation of 90° clockwise about the origin
b. a translation of 4 units to the right and 4 units down
c. a reflection across the y - axis
d. a rotation of 180° about the origin

Explanation:

Step1: Identify point C's coordinates

From the graph, point C is at $(4, 0)$.

Step2: Test Option A (90° clockwise rotation)

Rotation rule: $(x,y)\to(y,-x)$.
$\boldsymbol{(4,0)\to(0,-4)}$

Step3: Verify other options (optional check)

• Option B: Translation $(x+4,y-4)$: $(4+4,0-4)=(8,-4)

eq(0,-4)$

• Option C: Y-axis reflection $(x,y)\to(-x,y)$: $(4,0)\to(-4,0)

eq(0,-4)$

• Option D: 180° rotation $(x,y)\to(-x,-y)$: $(4,0)\to(-4,0)

eq(0,-4)$

Answer:

A. a rotation of 90° clockwise about the origin