91Ó°ÊÓ

Write a function \(g\) whose graph represents the indicated transformation of the graph of \(f\). Use a graphing calculator to check your answer. \(f(x)=-2|x-4|+2\)

OPEN-ENDED Give two real-life quantities that have (a) a positive correlation, (b) a negative correlation, and (c) approximately no correlation. Explain.

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

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.

Use a graphing calculator to graph the function and its parent function. Then describe the transformations. \(h(x)=-x+5\)

ABSTRACT REASONING If x and y have a positive correlation, and y and z have a negative correlation, then what can you conclude about the correlation between x and z? Explain.

Explain when it might be more convenient to use the elimination method than the substitution method to solve a linear system. Give an example to support your claim.

Use a graphing calculator to graph the function and its parent function. Then describe the transformations. \(g(x)=\frac{1}{2} x^2-6\)

Use a graphing calculator to graph the function and its parent function. Then describe the transformations. \(f(x)=4 x^2-3\)

Using what you know about solving linear systems in two and three variables, plan a strategy for how you would solve a system that has four linear equations in four variables.