IM Alg1.6.10 Practice: Graphs of Functions in Standard and Factored Forms
A quadratic function is defined by . Without graphing, identify the -intercepts of the graph of . Explain how you know.
Expand and use the expanded form to identify the -intercept of the graph of .
What are the -intercepts of the graph of the function defined by ?
Here is a graph that represents a quadratic function.
Which expression could define this function?
What is the -intercept of the graph of the equation ?
An equivalent way to write this equation is . What are the -intercepts of this equation’s graph?
Noah said that if we graph , the -intercepts will be at and . Explain how you can determine, without graphing, whether Noah is correct.
A company sells a video game. If the price of the game in dollars is the company estimates that it will sell games. Which expression represents the revenue in dollars from selling games if the game is priced at dollars?
Write each quadratic expression in standard form.
An applet is provided below for you to draw a diagram if needed.
Consider the expression . Is the expression equivalent to ? Explain how you know.
Is the expression in standard form? Explain how you know.
Here are graphs of the functions and given by and .
Which graph corresponds to and which graph corresponds to ? Explain how you know.
Here are graphs of two functions and .
An equation defining is .
Which of these could be an equation defining the function ?