Question: What Is A Vertical Transformation?

What are the 4 types of transformations?

There are four main types of transformations: translation, rotation, reflection and dilation..

Is a horizontal compression the same as a vertical stretch?

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. … A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

What does vertical mean?

Vertical describes something that rises straight up from a horizontal line or plane. A telephone pole or a tree can usually be described as vertical in relation to the ground. … When you’re standing up, you’re vertical, as opposed to when you lie down in a horizontal position on the couch.

How do you know if a transformation is vertical or horizontal?

Key TakeawaysA translation is a function that moves every point a constant distance in a specified direction.A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b . … A horizontal translation is generally given by the equation y=f(x−a) y = f ( x − a ) .

What does a vertical translation look like?

A vertical translation moves the graph up or down. An example of that would be: Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. … Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

How do you shift a function vertically?

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.

What are the 5 energy transformations?

Electric generator (Kinetic energy or Mechanical work → Electrical energy) Fuel cells (Chemical energy → Electrical energy) Battery (electricity) (Chemical energy → Electrical energy) Fire (Chemical energy → Heat and Light)

What is called transformation?

In molecular biology, transformation is genetic alteration of a cell resulting from the direct uptake, incorporation and expression of exogenous genetic material (exogenous DNA) from its surroundings and taken up through the cell membrane(s).

What is a vertical and horizontal stretch?

vertical stretching/shrinking changes the y -values of points; transformations that affect the y -values are intuitive. horizontal stretching/shrinking changes the x -values of points; transformations that affect the x -values are counter-intuitive.

What does a vertical shrink look like?

Based on the definition of vertical shrink, the graph of y1(x) should look like the graph of f (x), vertically shrunk by a factor of 1/2. Take a look at the graphs of f (x) and y1(x). Notice that the x-intercepts have not moved.

How do you do a vertical stretch by a factor of 2?

Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 3, and the equation of a function stretched horizontally by a factor of 2 and then shifted 3 units right is y = f ( (x – 3)) = f ( x – ). Example: f (x) = 2×2.

What is horizontal transformation?

Horizontal shifts are inside changes that affect the input ( x- ) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

What are some examples of transformation?

What are some examples of energy transformation?The Sun transforms nuclear energy into heat and light energy.Our bodies convert chemical energy in our food into mechanical energy for us to move.An electric fan transforms electrical energy into kinetic energy.More items…

What is transformation with example?

Transformation is the process of changing. An example of a transformation is a caterpillar turning into a butterfly. noun.

What are 5 examples of energy transfer?

Energy transfersA swinging pirate ship ride at a theme park. Kinetic energy is transferred into gravitational potential energy.A boat being accelerated by the force of the engine. The boat pushes through the water as chemical energy is transferred into kinetic energy.Bringing water to the boil in an electric kettle.

What is the rule for transformation?

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

What does a horizontal shift look like?

the horizontal shift is obtained by determining the change being made to the x-value. The horizontal shift is C. The easiest way to determine horizontal shift is to determine by how many units the “starting point” (0,0) of a standard sine curve, y = sin(x), has moved to the right or left.