WebGiven, F = k x where k is positive constant.Force , F = -dUxdxor dUxdx = -kxor dUx = -kx dxIntegrating both the sides,Ux = -∫kx dx = -12k x2or x2 = -2kUx ..... (i)Comparing Eq. (i) with the standard equation of parabola, which is given by x2 = 4ayWe conclude that the graph of U (x) versus x satisfies the graph of parabola. Since the equation (i) has minus … WebAug 1, 2024 · The graph attached shows the function in two pieces. 1). Parabola. 2). A straight line parallel to the x-axis. Standard equation of a parabola is, y = a(x - h)² + k. where (h, k) is the vertex. Vertex of the given parabola is (0, 0). Equation of the parabola will be, y = a(x - 0)² + 0. Therefore, the function will be, f(x) = ax²
Given f(x) and g(x) = f(x + k), use the graph to determine the value of ...
Webf (x)= x -3. It's like f (x)=x-3 except the 3 is inside absolute value brackets. The only difference is that you will take the absolute value of the number you plug into x. Remember that x just represents an unknown number. To find f (x) (you can think of f (x) as being y), you need to plug a number into x. f (x)= x -3. WebHorizontal scaling means the stretching or shrinking the graph of the function along the x-axis. Horizontal scaling can be done by multiplying the input with a constant. Horizontal scaling of the above function can be written as: y = f (Cx) y = f ( C x) The graph stretches if the value of C < 1, and the graph will shink if the value of C > 1. highest viewer count in twitch history
Spring force formula - Definition, Formula And Solved Examples
Webgx 3 - y 3 = 1. This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. (x - h)2 a2 - (y - k)2 b2 = 1. Match the values in this hyperbola to those of the standard form. The variable h represents the x-offset from the origin, k represents the y-offset from origin, a. WebJun 16, 2024 · Consider the function shown on the graph. Graph shows a function plotted on a coordinate plane. A curve begins at (minus 1, minus 3) in quadrant 3, rises through (0, minus 2), (3, minus 1), and (8, 0), and exits quadrant 1. Complete the statements to make them true. This is the graph of a function. The x-intercept of the function is at WebSep 14, 2024 · In other words, if c > 1, then the graph is compressed. If 0 < c < 1, (a proper fraction) then the graph is stretched horizontally. Step 1: Identify the transformation on the parent graph, f. y = − f ( x) Minus 2 Outside Function; Shift Down 2. Step 2: Multiply each x -value by 1 2. Step 3: Answer: y = f ( 2 x): highest viewed ted talks