PLZ answer fast 100 points

Consider a function y = f(x). Choose all options in which the effect on the graph of f is correctly described.

y = f(x + 3)
Shifts 3 units right.
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 = 2f(x) + 3
Shifts 2 units right, 3 units up.
y = f(x + 5)
Shifts 5 units left.

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The second one

The third one

and the last ones

Step-by-step explanation:

The x values are opposite

and the y stay the same

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

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.