Question 684114
Step 1) Start with the graph of y = x^2 (shown in green)


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,x^2)

)}}}


==========================================================================


Step 2) Shift it 4 units to the right to get y = (x-4)^2 (shown in blue)



{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,x^2,(x-4)^2)

)}}}




==========================================================================


Step 3) Then vertically stretch it by a factor of 3 to get y = 3(x-4)^2 (shown in purple)


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,x^2,(x-4)^2,3(x-4)^2)

)}}}


==========================================================================


For the sake of comparison, here are the two graphs y = x^2 (in green) and y = 3(x-4)^2 (in blue)


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,x^2,3(x-4)^2)

)}}}



and finally, here is the graph of just 3(x-4)^2 (in green)


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,3(x-4)^2)

)}}}