How do you describe the transformation of a graph?
How do you describe the transformation of a graph?
Moving up and down A function transformation takes whatever is the basic function f (x) and then “transforms” it (or “translates” it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. This is three units higher than the basic quadratic, f (x) = x2.
How do you graph vertical transformations?
We can express the application of vertical shifts this way: Formally: For any function f(x), the function g(x) = f(x) + c has a graph that is the same as f(x), shifted c units vertically. If c is positive, the graph is shifted up. If c is negative, the graph is shifted down.
How do you show transformations on Desmos?
Graph Transformations. Starting at y=2f(x), click on the circle to reveal a new graph. Describe the transformation. Click again to remove and try the next function.
What are all the transformations on a graph?
if k > 0, the graph translates upward k units. if k < 0, the graph translates downward k units….
| Transformations of Function Graphs | |
|---|---|
| -f (x) | reflect f (x) over the x-axis |
| k•f (x) | multiply y-values by k (k > 1 stretch, 0 < k < 1 shrink vertical) |
| f (kx) | divide x-values by k (k > 1 shrink, 0 < k < 1 stretch horizontal) |
How do you calculate transformations?
Here are some things we can do:
- Move 2 spaces up:h(x) = 1/x + 2.
- Move 3 spaces down:h(x) = 1/x − 3.
- Move 4 spaces right:h(x) = 1/(x−4) graph.
- Move 5 spaces left:h(x) = 1/(x+5)
- Stretch it by 2 in the y-direction:h(x) = 2/x.
- Compress it by 3 in the x-direction:h(x) = 1/(3x)
- Flip it upside down:h(x) = −1/x.
How do you do transformations on a graph?
5 Steps To Graph Function Transformations In Algebra
- Reflect Over X-Axis or Y-Axis.
- Shift (Translate) Vertically or Horizontally.
- Vertical and Horizontal Stretches/Compressions.
- Plug in a couple of your coordinates into the parent function to double check your work.