If f(x) is the parent function, changing the parameters ah, and k in a function g(x)=af(xh)+k changes the graph from the graph of the parent function. You can use the sketch to explore the effect that changing the parameters has on the shape, vertex, and axis of symmetry of linear, quadratic, and absolute value functions. Then complete the exercises. Press Absolute Value to explore how the parameters affect the function. Drag point k along the slider to see what happens when a value is added to the function. Examine the change in the graph of g(x)=axh+k for various values for k as compared to the graph of f(x)=x. Describe the similarities and differences among the graphs. How do positive and negative values of k affect the graph differently? Drag point halong the slider to see what happens when a value is subtracted from x before the function is evaluated. Examine the change in the graph of g(x)=axh+k for various values for h as compared to the graph of f(x)=x. Describe the similarities and differences among the graphs. How do positive and negative values of h affect the graph? Drag point a along the slider to see what happens when the function is multiplied by a value. Examine the change in the graph of g(x)=axh+k for various values of a as compared to the graph of f(x)=x. Describe the similarities and differences among the graphs. Which values of a make the function wider? narrower? Which values of a make the function open up? down? Press Linear and use the sliders to explore how the values of a,h, and k affect the graph of a linear function. Press Q uadratic and repeat the process to explore how the parameters affect the graph of a quadratic function Compare how a, h, and k affect the functions. INQUIRY How does performing an operation on a function change its graph