Which function would result from stretching y = {x) vertically by a factor of 3 and then vertically translating the graph 6 units down? y = 3f(x) – 6 %3D y = 3f(x- 6) y = {3x) – 6 y = (3x - 6)

Q: Graph f(x) = 3x3 – 5x2 – 27x + 45 in paper-pencil-ruler style.

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Q: Graph: f(x) =x4/(x2 + 2).

A: Given, the function                       We have to graph this function.

Q: f(x) = (x − 6)2 + 1 Identify the vertex.

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Q: Graph: f(x) = x4/(x2 + 2).

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Q: What is the relationship between the graph of x=-b/2a and the graph of the quadratic function?

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Q: 30r (1. 27) 27 24 21 18- 12 (2, 0) 3- -10 8 6 4 (4.0) 6 8 10 -3- -6 -9

A: topic - quadratic equations

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

A: Given : f(x) = 4x - 3g(x) = 3x2 + 2

Q: y= -5(x-1)7 (x-2)4 (x+30)5  Give its boundary behavior, x and y-intercepts. For the x-intercepts,…

A: To Determine: Give its boundary behavior, x and y-intercepts. For the x-intercepts, give the…

Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: If f(x) = 2x2 - 5, f(5) = %3D %3D

A: Given: f(x)=2x2-5 To find: The value of f(5).

Q: Graph: R(x) = 2x + 1 / x - 3

A: Given:              R(x)=2x+1x−3

Q: The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of…

A: From the given profit function:   px=-4x2+24000x-100,000 dollars   Now differentiate the function…

Q: r(x) is the image of y=2x2+12x+2 after a translation left 2 units and up 3 units, write the equation…

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Q: A landlord rents an apartment building with 250 apartments. The monthly profit, in dollars, can be…

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Q: For the month of May, the number of mosquitoes hatched over 2 weeks in Minneapolis, Minnesota ( in y…

A: The number of mosquitoes hatched over 2 weeks in Minneapolis, Minnesota is modeled by  y=−x−52+25…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: g(x) = x2 + 2x + 7   Identify the vertex

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Q: how

A: The given function is a third degree polynomial.

Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

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Q: find turning point(without using graphing calculator) of: y = (x2-8x+15)/x

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Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

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Q: Find the domains and ranges F(X)= %3D -X-4X-3

A: Given,  FX = -X2-4X-3  We have to find the domain and range of function.

Q: 2x-3y=1 -6x+9y=-3

A:

Q: Graph: f(x) = x4/(x2 + 1).

A: Given: fx=x4x2+1 graph of given function by using graphing utility can be draw as below

Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

Q: graph

A: Please refer to the image below

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.