The function f(x) = x - 2 +3 is transformed into the function g(x) = | – 3 +5 . The description of the transformations that will transform y = f(x) into y = 9(x) are a translation of _a_ unit(s) _b_and a translation of c unit(s) _d. Use the following code to complete the sentence above. Reference Numerical Reference Numerical Number Value Number Value 1 1 5 left 2 6 right 3 7 up 4 4 8 down 10. The reference numbers for a, b, c and d, in that order, are

Q: The function g(x) = -2(32x-6)+9 is the result of transformations of f (x) =3x Using the proper…

A: Given, the function                 g(x)=-232x-6+9

Q: 12. The general equation of the transformation of a function is given by the equation: y=af…

A: Here we have to find the effect of a, k, d, c on the transformation of parent function.

Q: Give examples of functions producing every possible output in the last component (i.e.…

A:

Q: 5. Consider the statement: "If a given relation, y = f(x), is a function, then its inverse, y…

A: A function is a relation between a set of inputs and a set of permissible outputs with the property…

Q: 11) For the following function: f(x) = |x-41 + 7 a. State the NAME and the EQUATION of the parent…

A:

Q: Find the inverse of the given function by completing these steps: f(x)=2x^3+4

A: Given function is f(x) =2x^3+4

Q: If a function passes the vertical line test then it has an inverse

A:

Q: (a) Shift it to the right 2 units. Denote the function that results from this transformation by fl.…

A:

Q: Describe a) the parent function b) the transformation /shifts that happen g(x) = -2(x-2)²+4

A: Here the given function is parabola

Q: 3x² +5 (-∞,-2) Given the following piecewise function, evaluate the following: f(x) = (-x+3 [-2, ∞)…

A:

Q: List the steps and explain the effect of each transformation to graph the function y=-3log[-2(x-1)]…

A:

Q: 5. Consider the statement "If a given relation, y = f(x), is a function, then its inverse y =…

A: Given statement,if a given relation, y = f(x), is a function, then its inverse y = f-1(x), is never…

Q: Use f (x) = x – 3 and g (x) = to find the - given functions. (2 points each) 1) g • f 2) g • g Find…

A: The given functions are: f(x)=x-3          and          g(x)=xx+3

Q: Explain what type of function is automatically an algebraic function?

A: A function is called as an algebraic function if it is made by algebraic operations like addition,…

Q: Expand and simplify, then verify your answers by evaluating the expressions before and after…

A:

Q: Describe all of the transformations occurring as the parent function f(x)=x² is g(x) = -1 (3(x+4))³²…

A:

Q: If (2,7) is on the graph of f(x), write the ordered pair that will be on the graph after the…

A: To find ordered pair that will be on graph after the transformation done.

Q: 53. H(z) = sec“(/=)

A: Topic : Function

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Graph the function and write the domain and range in interval notation: f(x)=(1/4)^x and use it to…

A: The objective of this question is to graph the function f(x) = (1/4)^x, write the domain and range…

Q: Describe the transformations to the graph of f(x) = 3* to produce each of the following functions.…

A: The given functions, a) gx=4×3-x+1 b) gx=35x-3-2. We have to write the transformations of the…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.