Answer:
y = f(x − 2) + 4
Shifts 2 units right, 4 units up.
y = −f(x − 3)
Shifts 3 units right, reflects in x-axis.
y = f(x + 5)
Shifts 5 units left
Step-by-step explanation:
Let the initial function be y = f(x)
Then,
y = f(x − 2) + 4 is obtained by translating the function 2 units towards right and 4 units up
y = -f(x - 3) is obtained by translating the graph 3 units towards right and then reflection along the x-axis
y = f(x + 2) is obtained by translating the graph 2 units towards left
