Question

for each description of a resulting transformation, write the rule in function notation.
then match the function notation rule from the bank at the bottom to its corresponding transformation.
a translation left 3 units and up 3 units
b. reflection across the y - axis
c dilation by scale factor of 3
bank:
$f(x,y)=(-x,y)$
$f(x,y)=(3x,3y)$
$f(x,y)=(x - 3,y + 3)$

Explanation:

• For a translation left 3 units (subtract 3 from x) and up 3 units (add 3 to y), the rule adjusts the coordinates accordingly.
• A reflection across the y-axis negates the x-coordinate while keeping y unchanged.
• A dilation by scale factor 3 multiplies both x and y coordinates by 3.

Answer:

A. Translation left 3 units and up 3 units: $f(x,y)=(x-3,y+3)$
B. Reflection across the y-axis: $f(x,y)=(-x,y)$
C. Dilation by scale factor of 3: $f(x,y)=(3x,3y)$