7) Sketch the graph of f(x) = (x + 3)² –- 4 using standard transformation techniques.

Q: 4. Given the function y = -2 * 2-2- + 4 a) Sketch f(x) b) List the transformations that has been…

A: Given query is to find the transformation applied.

Q: 11. Let f(x)=2x-1 and g(x) = 3x + 2. a) Determine f(g(x)), and describe its graph as a…

A:

Q: If g(x) is a transformation of f (x) = |x| then the function g(x) from the given graph is f(x) = |x|…

A: Given function is fx=|x| The function g(x) is the transformation of the function f(x). The graphs of…

Q: Given the parent function f(x)=x², describe the translation of g(x)=x²-8

A:

Q: Rewrite g(x) 2) in the form g(x) a2* * + c where a, b and e are all 2 to sketch the graph of y=…

A:

Q: The graph of f(x) is shown along with four transformations of f(x). Each tic mark on the axes…

A: The graph of function  is shown along with four transformations.We need to find the four…

Q: a) 6. A function is defined by the equation d(x) = 5(x - 3)² + 1. List the transformations to the…

A:

Q: 1) Graph the function f by starting with the graph of y = x² and using transformations. f(x) =(x –…

A: If f(x)=x2 Now we know that if graph of f(x) is transformed to f(x-a) then we shifts the graph of…

Q: 5. g(x) = -3x-2 Parent: Transformations:

A:

Q: 1) f(x) = |x], g(x) = -|x| + 3 2) f(x) = VF g(x) = V-2(x + 3) 3) flx) = |x| g(x) = 3|x + 2| 4) f(x)…

A: Topic- function  Note- : as per our guideline we have to answer only first three subparts because…

Q: %3D 5a) What transformation (in order) are done to f(x) to make h(x) = f(2x +9). Your answer %3D 5b)…

A: See the attachment

Q: f(x) = (x – 1)5 – 2 -

A: Given: The function is f ( x ) = 12 x-15 - 2 . To sketch:  Graph of f ( x ) = 12 x-15 - 2  using…

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2.…

A: Given query is to find the transformation applied and then graph the function.

Q: Suppose a transformation T(x,y)=9x+3,y-7)  is applied to the graph of y=1/x . What are the equations…

A: Given transformation T(x,y) =9x+3,y-7  is applied to the graph of  y=1x y=f(x)=1x Here use…

Q: 5. When trying to graph a function f(x) = -(2x + 6), which transformation should be applied last?

A:

Q: 29. Let f(x) x2, use the appropriate transformations to write the function g(x)-2x2 + 5x + 3 in term…

A: Rewrite the given function g as follows.

Q: If f(x) has a domain x < -1 and range y ≥ -1, then determine the domain and range of g(x) given that…

A: The objective of this question is to determine the domain and range of the function g(x) = -f(32x) +…

Q: According to the "Big Transformation Theorem" which of the following transformations would scale the…

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.