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## How do you graph transformations of parent functions?

1. If h > 0, then the graph of y = f (x – h) is a translation of h units to the RIGHT of the graph of the parent function.
2. Example: f(x) = ( x – 3)
3. If h<0,then the graph of y=f(x–h) is a translation of |h| units to the LEFT of the graph of parent function.
4. Example: f(x) = (x + 4)

How do you describe the transformation of a parent function?

The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative. Multiplying by a negative “flips” the graph of the function over the x-axis.

### What are parent graph transformations?

When a function is shifted, stretched (or compressed), or flipped in any way from its “parent function“, it is said to be transformed, and is a transformation of a function. These are vertical transformations or translations, and affect the y part of the function.

How do you describe transformations in algebra?

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. Moving the function down works the same way; f (x) – b is f (x) moved down b units.

## Which parent function is represented by the graph?

The parent function represented by the graph is an exponential function, as it gets exponentially smaller.

What is a parent graph and transformation?

For example, if the parent graph is shifted up or down (y = x + 3), the transformation is called a translation. If the parent graph is made steeper or less steep (y = 5 x), the transformation is called a dilation. And if the parent graph is changed so that it falls to the right instead of rising to the right…

### How do you identify 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.

What is a parent function graph?

Parent Graphs. A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.