IM Alg1.6.11 Lesson: Graphing from the Factored Form

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[/img][br][br]Here is a graph of a function defined by [math]w(x)=(x+1.6)(x-2)[/math]. Three points on the graph are labeled.[br][br]Find the values of [math]a[/math], [math]b[/math], [math]c[/math], [math]d[/math], [math]e[/math], and [math]f[/math]. Be prepared to explain your reasoning.
[size=150]Consider two functions defined by [math]f(x)=x(x+4)[/math] and [math]g(x)=x(x-4)[/math].[br][br]Complete the table of values for each function. Then, determine the [math]x[/math]-intercepts and vertex of each graph. Be prepared to explain how you know.[/size]
[math]x[/math]-intercepts:[br]
Vertex:
[math]x[/math]-intercepts:[br]
Vertex:
Plot the points from the tables on the same coordinate plane. (Consider using different colors or markings for each set of points so you can tell them apart.)
Make a couple of observations about how the two graphs compare.
The functions f, g, and h are given. Predict the x-intercepts and the x-coordinate of the vertex of each function.
Use graphing technology to graph the functions f, g, and h. Use the graphs to check your predictions.
Sketch a graph that represents the expression [math]\left(x-7\right)\left(x+11\right)[/math] and that shows the [math]x[/math]-intercepts and the vertex. Think about how to find the [math]y[/math]-coordinate of the vertex. Be prepared to explain your reasoning.[br]
[size=150]The quadratic function [math]f[/math] is given by [math]f\left(x\right)=x^2+2x+6[/math].[/size][br][br]Find [math]f(-2)[/math] and [math]f(0)[/math].[br]
What is the [math]x[/math]-coordinate of the vertex of the graph of this quadratic function?[br]
Does the graph have any [math]x[/math]-intercepts? Explain or show how you know.[br]
Close

Information: IM Alg1.6.11 Lesson: Graphing from the Factored Form