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11. Write the equation for the graph of g(x) as a transformation of the equation for...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x +...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
#2 Using transformation, give the equation of each graph. Write the answer of the form y...
#2 Using transformation, give the equation of each graph. Write the answer of the form y = a(x - h)? + k or x = a(y - k)2 +h a) b) c) 3 3 2 3 4 5 -6-5-4-3-2-1 -2 1 -5 -4 41 -6 - -2 -1 -3 10 12
Write the equation of the graph after the indicated transformation(s), The graph of y = x2...
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...
(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!
Consider the functions f(x)= x? and g(x) = 15x? 20- cb NI (a) Sketch the graph...
Consider the functions f(x)= x? and g(x) = 15x? 20- cb NI (a) Sketch the graph of the pair of functions using a standard window. (b) Describe the transformation used to obtain the graph of the second function from the first function. (a) Use the graphing tool to graph the functions. 8 4- 20 -16 - 12 Loc -4 NH Click to enlarge graph 12 oc 12 16 20 4 -8- -12- - 16- -20-
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
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...
Directions: Using the graph of each function, identify the parent function, then write an equation for...
Directions: Using the graph of each function, identify the parent function, then write an equation for the function under each transformation. 11. a) Parent Function: b) Translate 4 units down and 3 units left c) Vertically stretch by a factor of 2, then translate 5 units left: 12 a) Parent Function: b) Translate 3 units up and 8 units right: c) Horizontally compress by a factor of %, then reflect in the y-axis a) Parent Function: 13. b) Horizontally stretch...
please step by step with explanation help with #1,3,10,11,20,23,29,32a 1. Suppose the graph of f is...
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...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
#2 Using transformation, give the equation of each graph. Write the answer of the form y = a(x - h)? + k or x = a(y - k)2 +h a) b) c) 3 3 2 3 4 5 -6-5-4-3-2-1 -2 1 -5 -4 41 -6 - -2 -1 -3 10 12
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!
Consider the functions f(x)= x? and g(x) = 15x? 20- cb NI (a) Sketch the graph of the pair of functions using a standard window. (b) Describe the transformation used to obtain the graph of the second function from the first function. (a) Use the graphing tool to graph the functions. 8 4- 20 -16 - 12 Loc -4 NH Click to enlarge graph 12 oc 12 16 20 4 -8- -12- - 16- -20-
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
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...
Directions: Using the graph of each function, identify the parent function, then write an equation for the function under each transformation. 11. a) Parent Function: b) Translate 4 units down and 3 units left c) Vertically stretch by a factor of 2, then translate 5 units left: 12 a) Parent Function: b) Translate 3 units up and 8 units right: c) Horizontally compress by a factor of %, then reflect in the y-axis a) Parent Function: 13. b) Horizontally stretch...
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...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
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