the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph
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.
2.5.63-Setup & Solve Use transformations of f(x) = x? to graph the following function. g(x) = 4(x + 5)2 +4 Select all the transformations that are needed to graph the given function using f(x) = x? A. Shift the graph 5 units to the right. B. Reflect the graph about the x-axis. C. Reflect the graph about the y-axis. D. Shift the graph 5 units to the left. E. Stretch the graph horizontally by a factor of 4. F. Shrink...
please answe a and b
6. The graph y-f(x) is translated 4 units up, 3 units right and vertically stretched about the x-axis by a factor of 1/3 and horizontally stretched about the y-axis by a factor of 1/2. a) Following the appropriate order of transformations, using graph paper, re-draw the original function and then draw the graph of the new function. (upload your answer to motivis). b) Following the appropriate order of transformations, write the equation of the new...
please step by step with explanation help with
#1,3,10,11,20,23,29,32a
1. Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows. a. Shift 3 units upward. Answer + b. Shift 3 units downward. Answer c. Shift 3 units to the right. Answer + d. Shift 3 units to the left. Answer e. Reflect about the z-axis. Answer Answer d. Shift 3 units to the left. Answer + e. Reflect...
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
please show all work so i can understand Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx, ln(x+1), and ln(x-4). Then find f '(x).
please answer 18 , 19, 20
(a) wrtical shift gonitsup (e) Horizonial shift 9 wnits to the right (e) Nose of these (d) Horisomal shift 9 units to the lefi Find the amplitnde, pesiod or phase shif. Find thn period of y-l sin|4x+ A)3 D) Find the phase shift ofy--3-2sins tothe left B)끔tothe night A) ) π to the right 어tothe 끝tothe left D tothe right Find the amplitude of y-4 sin 2 C) 4 B) 3 A)-12 D) Use...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
1) A square energy pulse traveling to the right with a speed v-2 m/s is given by the equation: f(x,t)-E if Ix-vtl<a f(x,t)-0 if lx-vtla where E is an energy constant and a a length constant. i) Plot this pulse as a funtion of x at t-0. ii) Plot this pulse as a function of x at t-4 s. iii) Expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(ot-kx) where co/k-v.
1) A square...
(1) (2) (3) (4) Units of Quantity of Product Factor X Output Price Marginal Revenue Product 0 0 $12 1 10 $12 (A) 2 18 $12 (B) 3 25 $12 (C) 4 28 $12 (D) For this form, the demand curve for factor Xis There is not enough information given to determine the shape of the factor X demand curve, vertical upward-sloping Odownward-sloping- O horizontal