After students become more familiar with coordinates, one can have them graph equations by making xy-tables...

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"After students become more familiar with coordinates, one can have them graph equations by making xy-tables then graphing a number of points with x and y values satisfying the equation" (p. 14). Let use the above idea to investigate an equation that involve absolute values: ly-5| = |x-21. a. When x = 0, there could be two y-values. What are the two y-intercepts? [Type or paste your work] b. When y = 0, there could be two x-values. What are the two x-intercepts? [Type or paste your work] c. When y = 5, there could be only 1 value for x-value. What is the x-value when y = 5? [Type or paste your work] d. e. Create a table of values that satisfy the equation ly5| = |x - 21. Complete the table of values. (Note: you get to choose the last 3 points) x 0 0 y 0 0 5 Plot all the points in your table above on a coordinate plane. You may use www.geogebra.org/classic to plot the 8 points. [Paste your graph] f. The graph for ly-5| = |x-21 is made up of two intersecting lines. Plot the graph on a coordinate plane. [Paste your graph] "After students become more familiar with coordinates, one can have them graph equations by making xy-tables then graphing a number of points with x and y values satisfying the equation" (p. 14). Let use the above idea to investigate an equation that involve absolute values: ly-5| = |x-21. a. When x = 0, there could be two y-values. What are the two y-intercepts? [Type or paste your work] b. When y = 0, there could be two x-values. What are the two x-intercepts? [Type or paste your work] c. When y = 5, there could be only 1 value for x-value. What is the x-value when y = 5? [Type or paste your work] d. e. Create a table of values that satisfy the equation ly5| = |x - 21. Complete the table of values. (Note: you get to choose the last 3 points) x 0 0 y 0 0 5 Plot all the points in your table above on a coordinate plane. You may use www.geogebra.org/classic to plot the 8 points. [Paste your graph] f. The graph for ly-5| = |x-21 is made up of two intersecting lines. Plot the graph on a coordinate plane. [Paste your graph]

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a When x 0 we can substitute the value of x into the equation y5 x2 and solve for y Since absolute v... View the full answer