Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f (x) (rectangular).

Q: The equation y =flx) is graphed on the coordinate plane. A function, gx), is the result of…

A: Solve using shifting properties of the graph

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

A:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: (1) Sketch the graph of f(x). Be sure to label the axes and that the graph is consistent with your…

A: We have to graph the given function.

Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

A:

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: Use the graph of y=​f(x) to find each function value.   ​(a) ​ f(−3​) ​(b) ​ f(0​) ​(c)…

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.