List all the transformations that would occur to the parent function f(x)= x^2 to obtain the graph of g(x) = -6(x-5)^2+4.

Q: Sketch a graph of the function f(x) = x* – 4x' + 5

A: Given: fx=x4-4x3+5

Q: Sketch the graph of the function defined piecewise by the formula f(x) = {0,x 1.

A: fx=0 ,             x≤-11-x2,   -1<x<1x,                x≥1

Q: Suppose the graph of f(x) = 1/xis stretched vertically by a factor of 4 and then shifted down 3…

A: Given function is fx=1x. We know that if graph of function fx is stretched vertically by c units…

Q: Sketch the graph of fif 3x + 4 f(x) : 2x – 5

A: Given; fx=3x+42x-5 The graph of the given function is,

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Sketch the graph of f.

A: Given- fx=4x2x-5 To draw- The graph of the above function.

Q: Graph the functions f(x) = 2x and g(x) = 2x – 3 in the same rectangular coordinate system. Select…

A: The graphs of the function f(x) = 2x and g(x) = 2x - 3 are as follows:     The green line…

Q: Find Relative extreama of function 3. 9K-3xータx+1

A:

Q: 3) y=-2Vx+ 5 +3

A: We need to find out some value for given function so we draw it on graph

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

A:

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Sketch a graph of f(x) = – 1|x| %3D -

A:

Q: Use the "Big Idea" of transformations to find equations for these two functions.

A:

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: Sketch f(x) =5; +3 using transformations.

A: The requirement is the graph of the function fx=5 12x +3 using transformations.

Q: Sketch the graph of piece-wise defined function 5x + 3, x -3

A:

Q: Describe the transformation relating to the graph of f(x)=-3(x-2)2+5 from its parent function…

A: Given Parent function f(x)=x2

Q: find inverse of funchion. f(x) : 3x2+ 4x-3

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Sketch the graph of the function. h(x) = 5x−2

A: hx=5x-2 Let us find the points on the given function by arbitrarily choosing the values of x. When…

Q: Sketch the graph of the function by starting with the graph of a standard function and applying…

A: Firstly we draw the graph of standard function y=|x|

Q: Sketch the graphs of two distinct functions with the property f′(x)=−x^2+x

A:

Q: Find the oblique asymptote of the function f(x)=(3x²-4)/(x+3)

A: The equation of the function is fx=3x2-4x+3

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

A:

Q: find the inverse of FCX) = --x4メ-6 and Graph it f(x) = 2. X +4x -6

A: Given equation is fx=12x2+4x-6

Q: Differentiate the function using four-step rule

A: 1) As an step 1 in four step rule we should add h to f(x)  f(x+h)=3(x+h)+82(x+h)…

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image

A: Introduction: The shifting properties of a graph are very significant. Using these laws, one can…

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: What is the equation of the horizontal asymptote of function: f(x) = 2/(x + 2) - (x + 3)/(x + 4)?

A: I have appended the formula used in the solution part.

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

Q: Sketch the graph of the function f(x) = (2x − 1)/(x + 1)(x − 3)

A:

Q: Which is the graph of the function f ( x ) = { x 2 if  x ≤ 1 x − 1 if  x > 1 ?

A: Given function is fx=x2    ; if x≤1x-1; if x>1 Point of discontinuity for the given function is…

Q: Please sketch the graph of f(x) 2x2+12x+5 by first describing transformations. Thank you.

A: Given: fx=2x2+12x+5

Q: Find the equation for the horizontal asymptote of the graph of the function. f(x) =  (4x2 divided…

A: Given: The function fx=4x2x3-9-9x8x+5 To find: The equation of horizontal asymptote of the graph of…

Q: Sketch the graph of f(x) = (x – 8)*(x + 5)"(x – 1)²(x + 3)6

A: Zeros: -5, -3, 1, 8     For higher even powers, such as 4, 6, and 8, the graph will still touch and…

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Sketch the graph of the function with the given rule. if x < 3 5- x 3x - 7 if x 2 3 y

A:

Q: Sketch f(x) = 5 +3 using transformations.

A:

Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

A:

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: y = Nx+6 -ID....

A:

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: Find the equation of the horizontal asymptote for the function f(x)= 2 - (x / x2 -25)

A:

Q: Sketch the graph of fx) - x - 2x and use the graph to sketch the reciprocal function. Explain how…

A: Sketch the graph of f(x):

Q: Identify the maximum and minimum values of the function y=10cosx in the interval [-2pi, 2pi]. Use…

A: Our objective is to find the minimum and maximum value.

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

A:

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.