Linear Function Transformations

How did the equation shift from the parent function? y=(x)+7

How did the equation shift from the parent function? y=(x-3)+5

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

How did the equation shift from the parent function? y = (x - 4)

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

The equation of the linear function h(x) is shown. h(x) =  - 2x + 5Choose a graph that represent the linear functionj(x) = h(x) - 4.

Brooke graphed the parent function f(x) = x and g(x) = $$\frac{1}{2}f\left(x+2\right)$$ on the same coordinate grid.

This line will be less steep than the parent function and will be translated horizontally 2 units ​ (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 equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

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.