Consider the quadratic function f(x)=-2x^2+6x-2. A) what are the y and x incerpts. Use these intercepts to write the function in factored form. B)Use completing the square to write the function in standard form. C) list a sequence of transformations to get from the graph of y=x^2 to the graph of f. Sketch a graph of y=f(x). Does the graph open upward or downward. Where does the global maximun or minimun value of the function occur. What are thye global max. or min value. where is the function increasing and decreasing? D) What are the domain and range of the function? Giv ethe equation of the parabolas axis of symmetry.
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.
Consider the quadratic function f(x)=-2x^2+6x-2.
A) what are the y and x incerpts. Use these intercepts to write the function in factored form.
B)Use completing the square to write the function in standard form.
C) list a sequence of transformations to get from the graph of y=x^2 to the graph of f. Sketch a graph of y=f(x). Does the graph open upward or downward. Where does the global maximun or minimun value of the function occur. What are thye global max. or min value. where is the function increasing and decreasing?
D) What are the domain and range of the function? Giv ethe equation of the parabolas axis of symmetry.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images