Transformations of graphs

Question 1

What happens if u do something to the whole function?

y = f(x) <– the f(x)

Answer 1

Graph will move vertically

Question 2

What happens if u do something to the value of x?

y = f(x) <— the (x)

Answer 2

Graph will move horizontally

Question 3

y = f(x) + a
or
y = f(x) - a

what it do?

Answer 3

Graph move up [0, a] (vector style type shi)
or
Graph move down [0, -a]

Question 4

y = af(x) <– multiplying whole function by a

what it do?

Answer 4

Stretch in y-direction by a
soooo
All coordinates times by a

Question 5

y = -f(x)

what it do?

Answer 5

Reflection in x-axis

Question 6

y = f(x+a)

what it do?

Answer 6

Translation by [-a, 0] (still vector type shi)
but basically
goes backwards in the x axis

Question 7

y = f(ax)

what it do?

Answer 7

Stretch in x-direction
scale factor 1/a

I assume all coordinates divided?

Question 8

y = f(-x)

what it do?

Answer 8

Reflection in y-axis

Question 9

Although that’s like the “main” fundamentals, we probably do need to see some questions, feel like its a whole ass curve ball

Answer 9

Probably