![]() ![]() Further, the radiation level at a particular location on the first quadrant of the coordinate system was identified as the following function of distances, Scientists are required to set up a camp, adjacent to the road between points A and B, where the radiation level is minimum. The location of the power plant and surrounding area is indicated using the following x-y coordinate system, where the power plant is spotted at the origin of the coordinate system.Ī straight road runs across the reservation as indicated in the dotted line, that intersects the x and y coordinate axis at 7 km due east (A) and 1.4 km due north (B) from the origin. Question 1204820: A nuclear accident is reported in a power plant in an isolated reservation. That's why I don't believe what you are asking to prove is true. Now if were true it would be true when A=B=x=1įalse. Let's see if we can find a counter-example. Y= A/x + Bx where A and B are constants, show that x²dy/dx +xdy/dx=y Likely, you'll just take my word for it.] JĪnswer by greenestamps(12316) ( Show Source): The thank-you note form below, and I'll get back to you by email. The opposite of "what it seems" for horizontal transformations, just ask me in [If you would like more instruction to understand the reasoning behind why it's To flip the graph about the y-axis is a horizontal change (swapping the rightĪnd left quadrants.) So we multiply x only by -1. ![]() The entire function (the whole right side) by 9/8: This is a vertical stretch, so it is "as it seems", we multiply the entireįunction by a number greater than one. Multiply x only by the reciprocal of 4/9, which is 9/4. ![]() Its reciprocal of a number less than 1 is a number greater than 1, so we So we multiply x only by a number greater than 1. This is a horizontal compression, so it's "the reverse of what it seems". The graph of y = f(x) is compressed horizontally by a factor of 4/9. Transformation (of flipping the graph horizontally, we multiply x only by -1. To reflect a graph in (or across) the y- axis, this is a vertical To compress a graph vertically, we MULTIPLY the WHOLE function, the WHOLE RIGHT To stretch a graph vertically, we MULTIPLY the WHOLE function, the WHOLE RIGHT To shift a graph downward, we SUBTRACT from the WHOLE function, the WHOLE RIGHT To shift a graph upward, we ADD to the WHOLE function, which is the WHOLE RIGHT Something is done to the WHOLE function, not to x only. Vertical transformations are done "the way they seem". Which is the WHOLE RIGHT SIDE of the equation for y. So we do something to the WHOLE FUNCTION, When we do a vertical transformation, we do something to y, and y equals the You can put this solution on YOUR website!Ī vertical transformation is doing something to y, the vertical axis.Ī horizontal transformation is doing something to x, the horizontal axis. ![]()
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