The graph of 
is shown below. Assume the domain of 
is ![[-4,4]](/api/ssl-img-proxy?src=http%3A%2F%2Fdata.artofproblemsolving.com%2Fimages%2Flatex%2F3%2F2%2F2%2F322e7229ba5e3563baa460fc6301f88fe3875ab7.gif "[-4,4]")
and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines. 
Part (a): The points 
and 
are on the graph of 
Find 
and 
Part (b): Find the graph of Verify that your points from part (a) are on the graph.
Part (c): The points 
and 
are on the graph of 
Find 
and 
Part (d): Find the graph of Be sure to verify that your points from part (c) are on the graph both algebraically and geometrically.
hints:
and 
+118703 This is the forth or fifth time this has been posted. It has been answered at least 3 times in full !
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Please use graphs in your explanation. and explain thoroughly. Thank you so much!
+23254 For the graph shown, each box has a width and height of 1.
The graph of f(2x) would be identical to the graph of f(x) if you change the scale on the x-axis, so that the width of each box would be ½ (but keep the height the same as it was).
a) On the original graph, there is the point (-4, 4). On the graph of f(2x), the coordinates of the point are (-2,4), so a = -2.
On the original graph, there is the point (4, -4). On the graph of f(2x), the coordinates of the point are (2, -4), so b = 2.
b) See the note above part a.
c) f(2x - 8) = f( 2(x - 4) ) This graph makes a horizontal shift of the graph of f(2x) 4 spaces to the right. The graph of f(2x - 8), which is f( 2(x - 4) ), is congruent to the graph of f(2x), just move it 4 spaces to the right.
Moving (-2,4) four spaces to the right creates (2,4), so c = 2.
Moving (2,-4) four spaces to the right creates (6, -4), so d = 6.
d) Draw the graph of f(2x), then move that graph 4 spaces to the right to create f(2x - 8).
+118703 This is the forth or fifth time this has been posted. It has been answered at least 3 times in full !
I first answered it a few days ago. I think I even put it in my End of Day Wrap!
Are you losing track of your posts.
If you become a member they will be stored automatically in your watchlist!!
