3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by transforming y= f(x). (-7,6) ( 3, 4 ) (-3,-4) O(7,-6) y= f(x)-4 y =-f(x) y=2f(x) b) Explain y=-f(-x) would be the same graph as the original function y= f(x). c) Write the equation that would produce a horizontal stretch by a factor of 2 in terms of y = f(x). .... .. . ... ... ... .... ... ... ... ... ... .... ... ... ... ... .... ... .... ... . ... .... ... ... ... .... ... ... .... ... ... ... ... ... .... ... .... ... .. .. ... . ... .... ... ... ... .... ... ... .... ... ... '.. ... .... ... ... ... ... .... . .... .... .. .... .... ...

Q: Which of the following is a point on the graph of the function 5 - 3x f(x) = 4. (-5, 5) (2,-1) (1.4)…

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Q: what is the equation of the following linear unction f(x) through the points (-5, -2 and (7,-3)

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Q: ​(a) ​ (f+​g)(2​)   ​(b) ​ (f−​g)(1​)   ​(c)​ (fg)(0)   ​(d) fg​(1​)

A: The solution are next step

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

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Q: If (2, 2) is a point on the graph of f(x), which ordered pair must also be on the graph of y =…

A: Given query is to find the point after transformation.

Q: For the given functions f and g, find the requested function and state its domain. f(x) = *2; g(x):…

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Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

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Q: Solve the quadratic equations/Funetta and stating the zero: ما3 - =8=^X@

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Q: nctions? ) {(b,1),(b,2),(b,3)} ) {(a,2),(b,2), (c,2)} e) {(1,1),(1,2),(2,3)}

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Q: 11- (3,5) is a point on the graph of y=f(x). find the corresponding point on the graph of following…

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Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: Use the graph to evaluate the expressions in (a) - (f). (a) Evaluate (fog)(1). (fog)(1) = 6- Ау 4-…

A: The graph of the functions isTo determine: The value of .

Q: The following represents the graph of a function f(x): 3 1 2 3 -1 -2- On a separate set of axes,…

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Q: Sketch the function f(x) = 2x(x + 3)²(x-4) -3-2 3

A: The given function .We have to sketch a graph of the function.

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: The graphs of two functions f and g are given. Use them to evaluate each of the followine (-1, 7) 9.…

A: topic - composite functions

Q: For the given functions f and g, find the requested function and state its domain. 15) f(x) = 5x +…

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Q: Graph the pair of functions and identify the transformation of f(x) that produces g(x). S(x) =lx|-2,…

A: To identify: The transformation of fx that produces gx. Given: The functions are fx=x-2 and gx=-x+2.…

Q: Choose one value that is in the domain of both y(x) =x2 and y2 = x and that is greater than 0.…

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Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: Use the following graph of f(x) to sketch the graph of f(x-2)-3.

A: The graph of f(x) is given.

Q: Use the graphs (see attached) of f and g to find (f + g)(-3).

A: we know that f+gx=fx+gx so, according to given graphs f+g-3=f-3+g-3=4+1…