Graph the functions below.

Arrange the parabolas with respect to the position of their vertices from left to right.

y=f(4x+3)
y=f(x-3)
y=f(2x-1)
y=f(x/2-2)
y=f(x-7)
y=f(x+3)/3
y=f(x+2)

any help please!

Question

Graph the functions below.

Arrange the parabolas with respect to the position of their vertices from left to right.
 
y=f(4x+3)
y=f(x-3)
y=f(2x-1)
y=f(x/2-2)
y=f(x-7)
y=f(x+3)/3
y=f(x+2)

any help please!

mathmale · Answer

Suggestion:  Assume that f(x) represents a parabola with vertex at (0,0).  Draw it; assume that the function is f(x)=x^2.

Now, determine how the graph of, say, y=f(x-3), would be different from that of y=f(x).  In this case, the input x-3 to f(x) has a graph that is the same as that of f(x)=x^2, EXCEPT that it has been shifted 3 units to the right.

If you have reference material available, look up "stretching and compression in graphing."