Quick Answer: How Do You Describe A Translation Function?

How do you describe the translation of a graph?

Transformations of Graphs Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.

A graph is translated k units vertically by moving each point on the graph k units vertically.

g (x) = f (x) + k; can be sketched by shifting f (x) k units vertically..

How do you describe transformation reflection?

A reflection is a type of transformation. It ‘maps’ one shape onto another. When a shape is reflected a mirror image is created. If the shape and size remain unchanged, the two images are congruent.

How do you identify transformations?

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.f (x – b) shifts the function b units to the right.–f (x) reflects the function in the x-axis (that is, upside-down).More items…

How would you describe a translation?

A translation is a type of transformation that moves each point in a figure the same distance in the same direction. … You can describe a translation using words like “moved up 3 and over 5 to the left” or with notation.

How would you describe a function?

A function is a relation between a set of inputs and a set of permissible outputs, provided that each input is related to exactly one output. An example is the function that relates each real number x to its square x2 . The output of a function f corresponding to an input x is denoted by f(x) (read “f of x“).

What are the three basic ways to represent a function?

The three basic ways to represent a function are a table, a graph, and an equation.

What are the 8 types of functions?

The eight types are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.

What are the 3 types of function?

Types of FunctionsOne – one function (Injective function)Many – one function.Onto – function (Surjective Function)Into – function.Polynomial function.Linear Function.Identical Function.Quadratic Function.More items…•

What are the 7 parent functions?

The following figures show the graphs of parent functions: linear, quadratic, cubic, absolute, reciprocal, exponential, logarithmic, square root, sine, cosine, tangent.

How do you tell if a graph is a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

How do you describe appreciation?

1 : a feeling of being grateful Let me express my appreciation for your help. 2 : awareness or understanding of worth or value She studied art appreciation.

How do you describe the transformation of a function?

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. That is, x2 + 3 is f (x) + 3.

How do you tell if a graph is vertical or horizontal stretch?

Key Points If b>1 , the graph stretches with respect to the y -axis, or vertically. If b<1 , the graph shrinks with respect to y -axis. in general, a horizontal stretch is given by equation f(cx) f (c x ) .

How do you identify a parent function?

Graph the result. This is the parent function. For example, the parent function for “y=x^+x+1” is just “y=x^2,” also known as the quadratic function. Other parent functions include the simple forms of the trigonometric, cubic, linear, absolute value, square root, logarithmic and reciprocal functions.