IM Alg1.6.10 Lesson: Graphs of Functions in Standard and Factored Forms

[size=150]Here is a graph of the equation [math]y=8-2x[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br]Where do you see the 8 from the equation in the graph?[br]
Where do you see the -2 from the equation in the graph?[br]
What is the [math]x[/math]-intercept of the graph? How does this relate to the equation?[br]
[size=150]In an earlier lesson, we saw that an equation such as [math]h\left(t\right)=10+78t-16t^2[/math] can model the height of an object thrown upward from a height of 10 feet with a vertical velocity of 78 feet per second.[/size][br][br][img]data:image/png;base64,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[/img][br][br]Is the expression [math]10+78t-16t^2[/math] written in standard form? Explain how you know.[br]
Jada said that the equation [math]g\left(t\right)=\left(-16t-2\right)\left(t-5\right)[/math] also defines the same function, written in factored form. Show that Jada is correct.[br]
Here is a graph representing both [math]g\left(t\right)=\left(-16t-2\right)\left(t-5\right)[/math] and [math]h\left(t\right)=10+78t-16t^2[/math].[br][br][img]data:image/png;base64,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[/img][br][br]Identify or approximate the vertical and horizontal intercepts.[br]
What do each of these points mean in this situation?[br]
Here are pairs of expressions in standard and factored forms.
[size=150]Each pair of expressions define the same quadratic function, which can be represented with the given graph.[/size][br][br][size=150]Identify the [math]x[/math]-intercepts and the [math]y[/math]-intercept of each graph.[/size][br][br][table][tr][td]Function [math]f[/math][br][br][br][math]x^2+4x+3[/math][br][br][br][math](x+3)(x+1)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
[table][tr][td]Function [math]g[/math][br][br][br][math]x^2-5x+4[/math][br][br][br][math](x-4)(x-1)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
[table][tr][td]Function [math]h[/math][br][br][br][math]x^2-9[/math][br][br][br][math](x-3)(x+3)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
[table][tr][td]Function [math]i[/math][br][br][br][math]x^2-5x[/math][br][br][br][math]x(x-5)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
[table][tr][td]Function [math]j[/math][br][br][br][math]5x-x^2[/math][br][br][br][math]x(5-x)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
[table][tr][td]Function [math]k[/math][br][br][br][math]x^2+4x+4[/math][br][br][br][math](x+2)(x+2)[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][math]x[/math]-intercepts:
[math]y[/math]-intercept:
What do you notice about the [math]x[/math]-intercepts, the [math]y[/math]-intercept, and the numbers in the expressions defining each function? Make a couple of observations.
Here is an expression that models function [math]p[/math], another quadratic function: [math]\left(x-9\right)\left(x-1\right)[/math]. Predict the [math]x[/math]-intercepts and the [math]y[/math]-intercept of the graph that represent this function.
[size=150]Find the values of [math]a[/math], [math]p[/math], and [math]q[/math] that will make [math]y=a\left(x-p\right)\left(x-q\right)[/math] be the equation represented by the graph.[/size][br][br][img]data:image/png;base64,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[/img]

IM Alg1.6.10 Practice: Graphs of Functions in Standard and Factored Forms

[size=150]A quadratic function [math]f[/math] is defined by [math]f\left(x\right)=\left(x-7\right)\left(x+3\right)[/math].[/size][br][br]Without graphing, identify the [math]x[/math]-intercepts of the graph of [math]f[/math]. Explain how you know.[br]
Expand [math]\left(x-7\right)\left(x+3\right)[/math] and use the expanded form to identify the [math]y[/math]-intercept of the graph of [math]f[/math].[br]
What are the [math]x[/math]-intercepts of the graph of the function defined by [math]\left(x-2\right)\left(2x+1\right)[/math]?
Here is a graph that represents a quadratic function.
[img]data:image/png;base64,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[/img][br][br]Which expression could define this function?
[size=150]What is the [math]y[/math]-intercept of the graph of the equation [math]y=x^2-5x+4[/math]?[/size][br]
An equivalent way to write this equation is [math]y=\left(x-4\right)\left(x-1\right)[/math]. What are the [math]x[/math]-intercepts of this equation’s graph?[br]
[size=150]Noah said that if we graph [math]y=\left(x-1\right)\left(x+6\right)[/math], the [math]x[/math]-intercepts will be at [math]\left(1,0\right)[/math] and [math]\left(-6,0\right)[/math].[br][br][/size]Explain how you can determine, without graphing, whether Noah is correct.
[size=150]A company sells a video game. If the price of the game in dollars is [math]p[/math] the company estimates that it will sell [math]20,000-500p[/math] games.[br][/size][br]Which expression represents the revenue in dollars from selling games if the game is priced at [math]p[/math] dollars?
Write each quadratic expression in standard form.
An applet is provided below for you to draw a diagram if needed. [br][br][math]\left(x-3\right)\left(x-6\right)[/math]
[math]\left(x-4\right)^2[/math]
[math]\left(2x+3\right)\left(x-4\right)[/math]
[math]\left(4x-1\right)\left(3x-7\right)[/math]
[size=150]Consider the expression [math]\left(5+x\right)\left(6-x\right)[/math].[/size][br][br]Is the expression equivalent to [math]x^2+x+30[/math]? Explain how you know.[br]
Is the expression [math]30+x-x^2[/math] in standard form? Explain how you know.[br]
[size=150]Here are graphs of the functions [math]f[/math] and [math]g[/math] given by [math]f\left(x\right)=100\cdot\left(\frac{3}{5}\right)^x[/math] and [math]g\left(x\right)=100\cdot\left(\frac{2}{5}\right)^x[/math].[br][br][img]data:image/png;base64,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[/img][br][/size][br]Which graph corresponds to [math]f[/math] and which graph corresponds to [math]g[/math]? Explain how you know.
[size=150]Here are graphs of two functions [math]f[/math] and [math]g[/math].[/size][br][img]data:image/png;base64,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[/img][br]An equation defining [math]f[/math] is [math]f\left(x\right)=100\cdot2^x[/math].[br][br]Which of these could be an equation defining the function [math]g[/math]?

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