IM 8.3.8 Lesson: Translating to y=mx+b
The diagram shows several lines. You can only see part of the lines, but they actually continue forever in both directions.
[img]data:image/png;base64,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[/img][br][br]Which lines are images of line [math]f[/math] under a translation?
For each line that is a translation of f, draw an arrow on the grid that shows the vertical translation distance.
[size=150]Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, [math]y[/math], he has after [math]x[/math] hours of babysitting.[br][br]Now imagine that Diego started with $30 saved before he starts babysitting. On the same set of axes, graph how much money, [math]y[/math], he would have after [math]x[/math] hours of babysitting.[/size]
Compare the second line with the first line. How much more money does Diego have after 1 hour of babysitting? 2 hours? 5 hours? [math]x[/math] hours?
Write an equation for each line.
Experiment with moving point A.
[size=150]Place point [math]A[/math] in three different locations [i]above[/i] the [math]x[/math]-axis. For each location, write the equation of the line and the coordinates of point [math]A[/math].[/size]
[size=150]Place point [math]A[/math] in three different locations[i] below [/i]the [math]x[/math]-axis. For each location, write the equation of the line and the coordinates of point [math]A[/math]. [/size]
[size=150]In the equations, what changes as you move the line? What stays the same?[/size]
[size=150]Why do you think this is the case?[/size]
There are 4 pairs of lines, A–D, showing the graph, a, of a proportional relationship and the image, h, of a under a translation. Match each line h with an equation and either a table or description. For the line with no matching equation, write one.
[size=150]If the line passes through the origin, what equation is displayed? [/size]
[size=150]A student says that the graph of the equation [math]y=3(x+8)[/math] is the same as the graph of [math]y=3x[/math], only translated upwards by 8 units. [/size][br][br]Do you agree? Why or why not?
IM 8.3.8 Practice Translating to y=mx+b
[size=150]Select [b]all [/b]the equations that have graphs with the same [math]y[/math]-intercept.[/size]
Create a graph using the applet below showing the equations [math]y=\frac{1}{4}x[/math] and [math]y=\frac{1}{4}x-5[/math]. Explain how the graphs are the same and how they are different.
A cable company charges $70 per month for cable service to existing customers.
Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
[size=150][size=100]For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.[/size][/size]
[size=150][size=100]When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?[/size][/size]
A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.
[size=100]Find the elevation of the road at the point where the road begins. [/size]
[size=150][size=100]Describe where you would see the point in the previous question on a graph where [math]y[/math] represents the elevation in feet and [math]x[/math] represents the distance along the road in miles.[/size][/size]