Describe the transformation of the graph f(x) = 6x that yields the graph of (x) =...
Describe the transformation of the graph f(x) = 6x that yields the graph of (x) = 6x+1
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Describe the transformation of the graph f(x) =
6x that yields the graph of
(x) =...
Question 12 (4 points) Describe the graph of f(x) = A - 7x2 - 6x under...
Question 12 (4 points) Describe the graph of f(x) = A - 7x2 - 6x under the following headings (show all calculations to support your answers): a) x- and y-intercept(s) b) end behaviours A/
Given f(x) = x2 - 6x +5, x<3 Graph f(x) and f-?(x) to show that they...
Given f(x) = x2 - 6x +5, x<3 Graph f(x) and f-?(x) to show that they are inverses of one another.
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph...
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
9 2. On the set of axes below, graph f(x) = -x - 6x. State the...
9 2. On the set of axes below, graph f(x) = -x - 6x. State the coordinates of the vertex of the function 5 2 7 8 9 10 -10-9-8-7-6-5-4-3.2.191 1 2 3 4 5 1 - 2 -3 -5 -6 -7 -8 19 -10V
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each funct...
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1 2 -2 0 Transformation A: V2f(x-3)1 Transformation B: Vf(2x + 2)-3
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1
2 -2 0 Transformation A: V2f(x-3)1
Transformation B: Vf(2x...
What are the steps of transformation that you need to apply to the graph of f(x)=...
What are the steps of transformation that you need to apply to the graph of f(x)= lxl to obtain the graph of g(x)=5-2lx-3l?
For the function f(x)=x" - 6x + 7x-2, state: a) the maximum number of real zeros...
For the function f(x)=x" - 6x + 7x-2, state: a) the maximum number of real zeros that the function can have: b) the maximum number of x-intercepts that the graph of the function can have; and c) the maximum number of turning points that the graph of the function can have. The function f(x)=x" - 6x + 7x-2 has a maximum of real zeros. The function f(x)=x" - 6x®,+ 7x-2 has a maximum of x-intercepts. The function f(x)=x" - 6x...
11. Write the equation for the graph of g(x) as a transformation of the equation for...
11. Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x). 8 g(x) 6 4 f(x) 2 4 -20 2 2 12. Consider the graph of y = f(x). Sketch the graph of each transformation. y y = f(x) ob 6 4 21 a) y= {fl-(x + 2)) b) y - 2 = -f(2(x - 3)) c) y - 1 = 3f(2x + 4)
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2*...
15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2* x2 Choose the correct answer below. O A. The graph of y = x should be horizontally stretched by a factor of 15 2 OB. The graph of y = x should be vertically stretched by a factor of 15 2. OC. The graph of y = x should be horizontally compressed by a factor of 15 2 OD. The graph of y=x* should...
Question 12 (4 points) Describe the graph of f(x) = A - 7x2 - 6x under the following headings (show all calculations to support your answers): a) x- and y-intercept(s) b) end behaviours A/
Given f(x) = x2 - 6x +5, x<3 Graph f(x) and f-?(x) to show that they are inverses of one another.
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
9 2. On the set of axes below, graph f(x) = -x - 6x. State the coordinates of the vertex of the function 5 2 7 8 9 10 -10-9-8-7-6-5-4-3.2.191 1 2 3 4 5 1 - 2 -3 -5 -6 -7 -8 19 -10V
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1 2 -2 0 Transformation A: V2f(x-3)1 Transformation B: Vf(2x + 2)-3
Using the graph of the function f(x) and the table of values, give the table of values the transformation of each function. Use decimals where appropriate. 0 -2 2 -1
2 -2 0 Transformation A: V2f(x-3)1
Transformation B: Vf(2x...
For the function f(x)=x" - 6x + 7x-2, state: a) the maximum number of real zeros that the function can have: b) the maximum number of x-intercepts that the graph of the function can have; and c) the maximum number of turning points that the graph of the function can have. The function f(x)=x" - 6x + 7x-2 has a maximum of real zeros. The function f(x)=x" - 6x®,+ 7x-2 has a maximum of x-intercepts. The function f(x)=x" - 6x...
11. Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x). 8 g(x) 6 4 f(x) 2 4 -20 2 2 12. Consider the graph of y = f(x). Sketch the graph of each transformation. y y = f(x) ob 6 4 21 a) y= {fl-(x + 2)) b) y - 2 = -f(2(x - 3)) c) y - 1 = 3f(2x + 4)
15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2* x2 Choose the correct answer below. O A. The graph of y = x should be horizontally stretched by a factor of 15 2 OB. The graph of y = x should be vertically stretched by a factor of 15 2. OC. The graph of y = x should be horizontally compressed by a factor of 15 2 OD. The graph of y=x* should...
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