(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find...
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),
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
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
Let f(x) 4 If g(x) is the graph of f(x) shifted up 3 units and right 5 units, write a formula for g(z) g()= Preview
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]...
Let f(x) = - *-5 + 7. Graph f(x) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. shifted left 5 units shifted down 7 units shifted down 6 units reflected over the y-axis shifted up 7 units shifted right 5 units horizontally compressed horizontally stretched vertically stretched vertically compressed shifted up 6 units shifted left 7 units reflected over the c-axis shifted right 7 units (b) Identify the important point of f(x). (c) Identify...
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.
(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!
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...