Suppose the graph of y xis shifted to the left 4 units. What is the equation...
Write the equation of a graph that has the shape y=x^3 but has been reflected over the x axis and shifted to the left by two units
10 5+ -10 10 -104 The graph of f(x) = 2 is shifted down 5 units, and shifted left 2 unit. a) Write an equation for the new transformed function. b) What is the y-intercept of the new function? c) What is the domain of the new function? d) What is the range of the new function? e) Graph the function showing the y-intercept and one other point Solve the following equation. (4) logs(x+2)+logs (x-2)=2 DLL
+5 is shifted left units, stretched vertically by a factor of 8, reflected about the x-axis, and then shifted downward 5 units. What is the equation of the new The graph of X) - function, gx)? g) - X State the y-intercept of gix).
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
Help! Write the equation of the function that has a graph the shape of , vertically shrunk by a factor of 1/4 and shifted right 6 units. Write the equation of the function that has a graph the shape of y = ДаxДа, reflected about the x-axis and shifted down 1 unit.
43 In Problem 42, given (a,b) point on the graph of each that of y=f(x) shifted to the of y=f(x+2) is (a – 2,b). Ancu Ven (a, b) is a point on the graph of y = f(x), find the corresponding graph of each new equation. For example, the graph of y=f(x+2) is y=f(x) shifted to the left two units. So the corresponding point on the graph ( 1 ) 26). f. (-a,b+3),
Write the equation of the graph after the indicated transformation(s), The graph of y = x2 is shifted 2 units to the left. This graph is then vertically stretched by a factor of 6 and reflected across the x-axis. Finally, the graph is shifted 8 units downward. y=-6(x - 2)2 +8 . y=-6(x+3)2 - 2 y=-6(x - 2)2.8 CSI y=+*+?canned with CamScanner
(6) The figure below shows the graph of y=-x?shifted to four new positions. Write an equation for each new graph. [8 marks] (-23) (6) (a) 2.0) (c) (d) Find a formula for the inverse of the function. b) f(x) 4x-1 2x+3 [3 marks] (ii) f(x)= /10 - 3x _[2 marks] 1+e (111) g(x) - 1-e' [3 marks) Total: 25 marks!
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
When the graph of y=2^x is reflected in the x-axis, and then translated 5 units left and 1 unit down, the equation representing the new graph is:a) y=2^(-x+5)-1b) y=2^(x+5)-1c) y=2^(x-5)+1d) y=2^(x+5)-1