Functions Help? (Vertex Points)

Question

Point (0,0) is the vertex of 𝑓(𝑝). Where
is the new vertex in:
a) 𝑓(𝑝 + 7)
b) 𝑓(𝑝) − 3
c) 2𝑓(𝑝)
d) 𝑓 (1/4𝑝)
e) 𝑓(−𝑝)
f) −𝑓(𝑝)

Answer 1

I'm open to critique and constructive criticism.

So here goes

 

a)  -7,0  <--- left shift

 

b) 0,-3 <-- down shift

 

c) 0,0 <--- stretch by factor of 2

 

d) 0,0 <-- shrink by factor of 4

 

e) 0,0 <--- flips the graph over along the y axis

 

f) 0,0 <-- flips the graph over the x axis