Function Transformation Rules

Describe the transformation by typing one of the following:

right, left, down, up, reflect x-axis, reflect y-axis, vertical stretch, vertical compression
$$f\left(x\right)=-\left|x\right|$$

(a)  

The function $$f\left(x\right)=x^2$$ was transformed to create the function $$g\left(x\right)=f\left(x-2\right)+5$$ . Complete the sentence about this transformation.

The graph of f is translated 2 units ​ (a)   and 5 units ​ (b)   to created the graph of function g.

Match the following functions to its transformation from the parent function, $$f\left(x\right)$$ .

Describe the transformations that maps f(x) to g(x) = - f(x + 6) - 10

Match the following

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation. (a)  

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

The function f(x) is represented by the table below. What are the corresponding

values of g(x) for the transformation

g(x) = 6f(x)?

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)