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]
IM Alg1.6.11 Practice: Graphing from the Factored Form
[size=150]Select [b]all[/b] true statements about the graph that represents [math]y=2x\left(x-11\right)[/math].[/size]
[size=150]Select [b]all[/b] equations whose graphs have a vertex with [math]x[/math]-coordinate 2.[/size]
[size=150]Determine the [math]x[/math]-intercepts and the [math]x[/math]-coordinate of the vertex of the graph that represents each equation. [/size]
[size=150]Which one is the graph of the equation [math]y=\left(x-3\right)\left(x+5\right)[/math]?[/size]
[size=150]What are the [math]x[/math]-intercepts of the graph of [math]y=\left(x-2\right)\left(x-4\right)[/math]?[/size][br]
Find the coordinates of another point on the graph. Show your reasoning.[br]
Sketch a graph of the equation y=(x-2)(x-4).
[size=150]A company sells calculators. If the price of the calculator in dollars is [math]p[/math], the company estimates that it will sell [math]10,000-120p[/math] calculators.[br][/size][br]Write an expression that represents the revenue in dollars from selling calculators if a calculator is priced at [math]p[/math] dollars.
[size=150]Is [math]\left(s+t\right)^2[/math] equivalent to [math]s^2+2st+t^2[/math]? [/size]Explain or show your reasoning.
[size=150]Tyler is shopping for a truck. He found two trucks that he likes. One truck sells for $7,200. A slightly older truck sells for 15% less.[/size][size=150]How much does the older truck cost?[/size]
[size=150]Here are graphs of two exponential functions, [math]f[/math] and [math]g[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br][size=150]The function [math]f[/math] is given by [math]f\left(x\right)=100\cdot2^x[/math] while [math]g[/math] is given by [math]g\left(x\right)=a\cdot b^x[/math].[br][/size][br]Based on the graphs of the functions, what can you conclude about [math]a[/math] and [math]b[/math]?
[size=150]Suppose [math]G[/math] takes a student’s grade and gives a student’s name as the output. Explain why [math]G[/math] is not a function.[/size]