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Magazine Problem 25
Graph the function and its parent function. Then describe the transformation. \(h(x)=3|x|\)
Problem 25
Solve the system of linear equations using the substitution method. \(x+y-z=4\) \(3 x+2 y+4 z=17\) \(-x+5 y+z=8\)
Problem 25
OPEN-ENDED Give two real-life quantities that have (a) a positive correlation, (b) a negative correlation, and (c) approximately no correlation. Explain.
Problem 26
Solve the system of linear equations using the substitution method. \(2 x-y-z=15\) \(4 x+5 y+2 z=10\) \(-x-4 y+3 z=-20\)
Problem 26
Graph the function and its parent function. Then describe the transformation. \(f(x)=\frac{1}{2}|x|\)
Problem 27
Solve the system of linear equations using the substitution method. \(4 x+y+5 z=5\) \(8 x+2 y+10 z=10\) \(x-y-2 z=-2\)
Problem 27
MAKING AN ARGUMENT A set of data pairs has a correlation coeffi cient r = 0.3. Your friend says that because the correlation coeffi cient is positive, it is logical to use the line of best fi t to make predictions. Is your friend correct? Explain your reasoning.
Problem 27
Write a function \(g\) whose graph represents the indicated transformations of the graph of \(f\). (See Example 4.) \(f(x)=x\); vertical stretch by a factor of 2 followed by a translation 1 unit up
Problem 28
Use a graphing calculator to graph the function and its parent function. Then describe the transformations. \(h(x)=-x+5\)
Problem 28
THOUGHT PROVOKING Points A and B lie on the line y = ?x + 4. Choose coordinates for points A, B, and C where point C is the same distance from point A as it is from point B. Write equations for the lines connecting points A and C and points B and C.
