Question

I have the worst teacher and I need help can anyone help me :(?

Answer 1

Answer:

Graph B: Translate 6 units to the right so f(x-6)

Graph C: Translate 3 units to the left and go down 5 units so f(x+3) - 5

Graph D: Translate 7 units to the left so f(x+7)

Graph E: Translate 6 units upwards so f(x) + 6

Graph F: Translate 2 units to the right and 3 upwards so f(x-2) +3

Step-by-step explanation:

This is just function transformations or function shifts.

If you wish to move a graph, f(x), to the left, add x by the units desired so f(x+c), where c is the units to the left.

If you wish to move the graph to the right, subtract x by the units desired so f(x-c), where c is the units to the right.

To move the graph up add the desired of units to the function.

If you want to shift upwards by a certain amount of units then f(x) + c, where c is the units upwards.

If you want to shift downwards by a certain amount of units then f(x) - c, where c is the units downwards.