Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure. Multiple choice:

(A.) Translation: (x, y) → (x, y – 4); Reflection across the x-axis

(B.) Translation: (x, y) → (x + 4, y); Reflection across the x-axis

(C.) Translation: (x, y) → (x, y + 4); Reflection across the x-axis

(D.) Translation: (x, y) → (x, y – 4); Reflection across the y-axis

Answer D

Step-by-step explanation:

First of all, you see that the shape moves down 4 units, which means that (x, y - 4) works. Then, you see it being flipped over vertically, which means it's going over the y-axis. You see that the last answer is the one that works.

d

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3