h(t) = 600 − 16t2 Express t as a function of height h and find the time it takes to reach a height of 400 feet. Be sure to include a graph of h(t) and your new function, and use this graph to explain how you know your answer is correct. You may use demos, GeoGebra, or a graphing calculator to make this graph.
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.
An object dropped from a height of 600 feet has a height h(t) after t seconds given by
h(t) = 600 − 16t2
Express t as a function of height h and find the time it takes to reach a height of 400 feet. Be sure to include a graph of h(t) and your new function, and use this graph to explain how you know your answer is correct. You may use demos, GeoGebra, or a graphing calculator to make this graph.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 11 images