Transforming Linear Functions

A line's y-intercept is changed from 8 to 2. Which way did it shift?

A line's y-intercept is changed from -4 to -6. Which way did it shift?

A line's y-intercept is changed from -1 to 0. Which way did it shift?

The slope is cut in half. What's the new equation?

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)  

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.

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