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):
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How can I graph multiple x functions to the same y …
WebA polynomial labeled y equals f of x is graphed on an x y coordinate plane. The graph curves up from left to right passing through the negative x-axis side, curving down through the origin, and curving back up through the positive x-axis. A horizontal arrow points to the left labeled x gets more negative. WebFunction g is graphed. The x-axis goes from negative 8 to 8. The graph consists of a curve and a closed circle. The curve starts at about (negative 8, 6), moves downward to about (negative 3, 3.5), and moves upward through an open circle at x = 1, just above y = 4. The curve ends in quadrant 1. A closed circle is plotted at x = 1, just below y = 2. WebNov 5, 2016 · Here is a graph of the curves: graph{x+1/x} The first derivative is: #dy/dx = 1 - 1/x^2# To obtain the x coordinates of local extrema, set that equal to zero: #1 -1/x^2 = 0# #1 = 1/x^2# #x^2 = 1# #x = +-1# #y(-1) = -1 + 1/-1 = -2# #y(1) = 1 + 1/1 = 2# Perform the second derivative test: #(d^2y)/(dx^2) = 1/x^3# It is positive for #x = 1# and ... how did they animate snow white