IM Alg1.6.12 Lesson: Graphing the Standard Form (Part 1)
Graphs A, B, and C represent 3 linear equations:
[size=150][math]y=2x+4[/math], [math]y=3-x[/math], and [math]y=3x-2[/math][br][br][/size][img]data:image/png;base64,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[/img][br][br]Which graph corresponds to which equation? Explain your reasoning.
Graph y=x² and then experiment with each of the following changes to the function. Record your observations (include sketches, if helpful).
Adding different constant terms to [math]x^2[/math] (for example: [math]x^2+5[/math], [math]x^2+10[/math], [math]x^2-3[/math], etc.)
Multiplying [math]x^2[/math] by different positive coefficients greater than 1 (for example: [math]3x^2[/math], [math]7.5x^2[/math], etc.)
Multiplying [math]x^2[/math] by different negative coefficients less than or equal to -1 (for example: [math]-x^2[/math], [math]-4x^2[/math], etc.)
Multiplying [math]x^2[/math] by different coefficients between -1 and 1 (for example: [math]\frac{1}{2}x^2[/math], [math]-0.25x^2[/math], etc.)
[size=150]Here are the graphs of three quadratic functions. 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[/img][br][br]What can you say about the coefficients of [math]x^2[/math] in the expressions that define [math]f[/math] (in black at the top)?
What can you say about the coefficients of [math]x^2[/math] in the expressions that define [math]g[/math] (in blue in the middle)?
What can you say about the coefficients of [math]x^2[/math] in the expressions that define [math]h[/math] (in yellow at the bottom)?
Can you identify them? How do they compare?
[size=150]Complete the table with values of [math]x^2+10[/math] and [math]x^2-3[/math] at different values of [math]x[/math]. (You may also use a spreadsheet tool, if available.) [/size]
Earlier, you observed the effects on the graph of adding or subtracting a constant term from [math]x^2[/math]. Study the values in the table. Use them to explain why the graphs changed the way they did when a constant term is added or subtracted.[br]
[size=150]Complete the table with values of [math]2x^2[/math], [math]\frac{1}{2}x^2[/math], and [math]-2x^2[/math] at different values of [math]x[/math]. (You may also use a spreadsheet tool, if available.)[/size]
You also observed the effects on the graph of multiplying [math]x^2[/math] by different coefficients. Study the values in the table. Use them to explain why the graphs changed they way they did when [math]x^2[/math] is multiplied by a number greater than 1, by a negative number less than or equal to -1, and by numbers between -1 and 1.[br]
Each card contains a graph or an equation.
[list][size=150][*]Take turns with your partner to sort the cards into sets so that each set contains two equations and a graph that all represent the same quadratic function.[br][/*][*]For each set of cards that you put together, explain to your partner how you know they belong together.[/*][*]For each set that your partner puts together, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.[/*][/size][/list]
[list][size=150][*]Once all the cards are sorted and discussed, record the equivalent equations, sketch the corresponding graph, and write a brief note or explanation about why the representations were grouped together.[/*][/size][/list]
IM Alg1.6.12 Practice: Graphing the Standard Form (Part 1)
Here are four graphs. Match each graph with a quadratic equation that it represents.
[size=150]The two equations [math]y=\left(x+2\right)\left(x+3\right)[/math] and [math]y=x^2+5x+6[/math] are equivalent.[/size][br][br]Which equation helps find the [math]x[/math]-intercepts most efficiently?[br]
Which equation helps find the [math]y[/math]-intercept most efficiently?[br]
[size=150]Here is a graph that represents [math]y=x^2[/math].[/size][br][br]On the same coordinate plane, sketch and label the graph that represents each equation:[br][list][*][math]y=x^2-4[/math][br][/*][*][math]y=-x^2+5[/math][/*][/list]
[size=150]Select [b]all[/b] equations whose graphs have a [math]y[/math]-intercept with a positive [math]y[/math]-coordinate.[/size]
[img]data:image/png;base64,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[/img][br][br][size=150]Describe how the graph of [math]A\left(x\right)=\left|x\right|[/math] has to be shifted to match the given graph.[/size][br]
Write an equation for the function represented by the graph.[br]
[size=150]Here is a graph of the function [math]g[/math] given by [math]g\left(x\right)=a\cdot b^x[/math].[br][/size][br][img]data:image/png;base64,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[/img][br][br]What can you say about the value of [math]b[/math]? Explain how you know.
[size=150]What are the [math]x[/math]-intercepts of the graph that represents [math]y=\left(x+1\right)\left(x+5\right)[/math]? [br][/size]Explain how you know.
[size=150]What is the [math]x[/math]-coordinate of the vertex of the graph that represents [math]y=\left(x+1\right)\left(x+5\right)[/math]? [/size][br]Explain how you know.[br]
Find the [math]y[/math]-coordinate of the vertex. Show your reasoning.[br]
Sketch a graph of y=(x+1)(x+5).
Determine the x-intercepts, the vertex, and the y-intercept of the graph of each equation.
[size=150]Equal amounts of money were invested in stock A and stock B. In the first year, stock A increased in value by 20%, and stock B decreased by 20%. In the second year, stock A decreased in value by 20%, and stock B increased by 20%.[/size][br][br]Was one stock a better investment than the other? Explain your reasoning.