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

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: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

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: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

A:

Q: How is the graph of g(x)=(x-3) related to the graph of f(x) = x?

A:

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

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: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x…

A: f(x)=-3x+2 and g(x)=x2-2x-4

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: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

A:

Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

A:

Q: 3. Sketch the graph of f(x) = 2x2 – 5x – 6. Find all intercepts and the vertex.. %3D 10…

A: Given

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: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

A:

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

A:

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

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

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

A:

Q: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

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

A:

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b &gt; 0.

A: f(x)=mx+ b

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

A:

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: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

Q: The graph of y= f(x)= √x-9 is horizontally stretched away from the y-axis by a factor of 3 to…

A:

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

A:

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

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: 2 Explain how the graph of y = -f(x - 2) compares to the graph of y = f(x).

A: The given function: y=-f(x-2) Parent function: y=f(x)

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: graph

A:

Q: Explain how to identify the graph of : Ax2 + Cy2 + Dx + Ey + F = 0.

A: If an equation has a square form of the variable  or a square form of the variable  or a square form…

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: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

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

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

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: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

A:

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

A: our objective is to find a f.

Q: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

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.