Calculus
posted by Jessie .
Write an equation for a graph obtained by vertically shifting the graph of y = x^2 + 10 downward by 35 units,
followed by stretching the resulting graph by a factor of 19.6.

I found the answer to the question below, but I am not sure how it is supposed to differ from the one above?
Write an equation for a graph obtained by vertically stretching the
graph of y = x2 + 10 by a factor of 19.6, followed by a
vertical shift downward by 35 units. 
(rewritten) I found the answer to the question below, but I am not sure how it is supposed to differ from the one above?
Write an equation for a graph obtained by vertically stretching the
graph of y = x^2 + 10 by a factor of 19.6, followed by a
vertical shift downward by 35 units. 
There's quite a difference between "shifting and stretching" and "stretching and shifting"
In the first case, the shift is also stretched.
For example, if you have a parabola y=x^2, if you stretch first, the graph still touches (0,0), no matter how far it is stretched. If it's then shifted, the stretched parabola is moved by that an=mount.
If it is shifted say, 5 units down, then after stretching by 3, the vertex is now 15 units down.
So, with that parabola,
stretch3shift5: x^2 > 3x^2 > 3x^25
shift5stretch3: x^2 > x^25 > 3(x^25) = 3x^215
Now apply that logic to your problem.
Respond to this Question
Similar Questions

calculus
Given the graph of f(x) find the graph of 2 f( 3x  2)  4 Is this correct? 
calculus reposted
Given the graph of f(x) find the graph of 2 f( 3x  2)  4 Is this correct? 
Mathematics
The graph of y = 2^x3 can be obtained by shifting the graph of y= 2^x a) 3 units to the right b) 3 units to the left c) 3 units up d) 3 units down e) 2 units to the right and 3 units up The equation of the graph that is obtained by … 
Math
Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x) to the right 6 units and downward 6 units and is vertically stretched by a factor of 5 when compared to y=sin(x) 
calculus
the graph of y= 1/4 over x2 can be obtained from the graph yx by which transformations? 
calculus
the graph of y= 1/4/x2 (1/4 over x2) can be obtained from the graph of y=x by which transformations a. what is the horizontal shift? 
Calculus 1
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (a) y=7f(x) shifts 7 units upward shifts 7 units downward shifts 7 units to the right shifts 7 units to the left stretch the graph vertically … 
Calculus 1
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (d) y= 2f(x) shift 2 units upward shift 2 units downward shift 2 units to the right shift 2 units to the left stretch the graph vertically … 
math: precalculus
List the transformations that will change the graph of g(x)=lnx into the graph of the given function h(x)=log(x+3)8 a) Horizontally shift the graph to the right by 3; then vertically shift downward by 8. b) Horizontally shift the … 
Algebra
Write an equation for a function at has a graph with the given characteristics. the shape of y=x is reflected across the yaxis. this graph is then vertically stretched by a factor of 1.5. Finally, the graph is shifted 4 units downward.