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Magazine Problem 13
Graph the function and its parent function. Then describe the transformation. \(g(x)=|x-5|\)
Problem 15
Graph the function and its parent function. Then describe the transformation. \(h(x)=-x^2\)
Problem 16
Write a function \(g\) whose graph represents the indicated transformation of the graph of \(f\). Use a graphing calculator to check your answer. \(f(x)=-x+1\); reflection in the \(y\)-axis
Problem 17
MODELING WITH MATHEMATICS The data pairs \((x, y)\) represent the average annual tuition \(y\) (in dollars) for public colleges in the United States \(x\) years after 2005 . Use the linear regression feature on a graphing calculator to find an equation of the line of best fit. Estimate the average annual tuition in 2020. Interpret the slope and \(y\)-intercept in this situation. (See Example 4.) $$ (0,11,386),(1,11,731),(2,11,848) $$ \((3,12,375),(4,12,804),(5,13,297)\)
Problem 17
Write a function \(g\) whose graph represents the indicated transformation of the graph of \(f\). Use a graphing calculator to check your answer. \(f(x)=x+2\); vertical stretch by a factor of 5
Problem 17
Graph the function and its parent function. Then describe the transformation. \(f(x)=3\)
Problem 19
Solve the system of linear equations using the substitution method. \(-2 x+y+6 z=1\) \(3 x+2 y+5 z=16\) \(7 x+3 y-4 z=11\)
Problem 19
Write a function \(g\) whose graph represents the indicated transformation of the graph of \(f\). Use a graphing calculator to check your answer. \(f(x)=|2 x|+4\); horizontal shrink by a factor of \(\frac{1}{2}\)
Problem 20
Solve the system of linear equations using the substitution method. \(x-6 y-2 z=-8\) \(-x+5 y+3 z=2\) \(3 x-2 y-4 z=18\)
Problem 20
Write a function \(g\) whose graph represents the indicated transformation of the graph of \(f\). Use a graphing calculator to check your answer. \(f(x)=|x+3| ;\) horizontal stretch by a factor of 4
