what does b(x) = (-1) + f(x) mean when shifting a graph

Q: The graph of the function x = y² + 5 is symmetric about %3D the

A:

Q: how is the graph g(x)=(x-6)^2-4 related to the graph of f(x)=x^2?

A: In this question transfomation takes place.

Q: Find an equation for the graph sketched below: 7- 4 -5 -4 -3 -2 2 3 -2 -3 -4 -5 -7- -8나 f(x) = 2.

A: Draw the graph

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: 4. Graph the functionx +y =-4. 10 8 -6 -8 -10 -10 -8 4. -2 0 2 4 6 8 10 X+y =-4

A: We will solve the following

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: ry It Problem #2: How does the graph of h(x) = (x+ 1)2 compare to the graph of f(x) =x2?

A: We can answer the question as below

Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

A:

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

A:

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

A:

Q: sketch the graph of function Xy-y-1=0

A: xy-y-1=0 we can draw the graph of the function

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: Explain how the graph g(x)=|x+2– 2 is obtained from the graph of f(x)=|x|

A: Given data:   *The function g(x) is g(x)=|x+2|-2. *The function f(x) is f(x)=|x|.   The general form…

Q: Below is the graph of y=f(x). Graph y=-f(x). 6- 十 2-

A: RemarkIf y=f(x) is a function , then y = f(-x_ isits reflection about y axisy=-f(x) is its…

Q: How is the graph of f (a)= (x - 4)° transformed from its parent function?

A:

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: Q4, Using Vertical Shifts and Horizontal shirts in Graph of Runctions: O y = (x+2)-3 © y = Cx=2)+3

A:

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: Two key points on the graph of g(x)=8^x are (1, _) and (0,_)

A: Given the function  g(x) = 8x we need to find it's two key points with given information. Now let (1…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: Q16) Use shifting graph to sketch a) y = |(x – 3)² – 2| b) y = -1+ 5cos (x –-)

A: Given a y=x-32-2b y=-1+5cosx-π2

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: what is the slope of the curve

A:

Q: 4) y= V4x + 8 -2 9-

A:

Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

Q: How are the graphs of f(x) = x and g(x) = -f(x) – 1 related?

A:

Q: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2.  Because…

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

A:

Q: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: Graph x- t²- t+y on

A:

Q: Find an equation for the graph sketched below: 8- 7- 2- -5 4 -3 -2 - i 2 3 4 5 -2- -7 -8- f(x) =

A:

Q: Find the gradient of the graph a) y = 6-3x where x = 5 )y= 12 + x-3x? where x = - 3

A: Find the gradient of the function

Q: how does the graph shift from f(x)=2x to f(x)=2x+3

A: Given function are fx=2x and fx=2x+3 We have to find number of the graph shift from fx=2x to fx=2x+3…

Q: Sketch the graph of ƒ(x) =(x + 1)2/1 + x2

A: fx=x+12+x2 It is an upward parabola. When x=0, f0=0+12+02=1 When fx=0,…

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

Q: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

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.