How do you describe the translation of a graph?

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. When f(x) is translated a units horizontally, then the argument of f(x) becomes x − a. In the example above, the argument of |x| becomes x − 3.

How do you translate a graph to the right?

To move a graph right, we add a negative value to the x-value. To move a graph left, we add a positive value to the x-value. To stretch a graph in the y-axis, we multiply the whole function times any number n such that n > 1.

How do you reflect across the Y axis?

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

What is the equation for a translation?

The Rule for Vertical Translations: if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

How do you find the transformation of a graph?

5 Steps To Graph Function Transformations In Algebra

1. Identify The Parent Function. Ernest Wolfe.
2. Reflect Over X-Axis or Y-Axis.
3. Shift (Translate) Vertically or Horizontally.
4. Vertical and Horizontal Stretches/Compressions.
5. Plug in a couple of your coordinates into the parent function to double check your work.

How do you translate a graph across the y axis?

Reflection across the y-axis: y = f ( − x ) y = f(-x) y=f(−x) Besides translations, another kind of transformation of function is called reflection. If a reflection is about the y-axis, then, the points on the right side of the y-axis gets to the right side of the y-axis, and vice versa.

How do you reflect over the y axis?

What is the graph of the equation y 2?

The equation y=2 is in slope intercept form, where the slope is 0 and the y-intercept is 2 . The equation can be graphed as the equation y=0x+2 . The graph is a horizontal line where all values for y are 2 .

What is the vertex of the parabola whose equation is y x 1 2 3?

(-1,3)
The vertex of the parabola whose equation is y = (x+1)2 + 3 is (-1,3).

What is the translation of y = f(x) + 2?

y = f (x) + 2 produces a vertical translation, because the +2 is the d value. It shifts the entire graph up for positive values of d and down for negative values of d. y = f (x – 2) + 3 gives us values for both c and d, so the translation moves 2 units right (negative c) and three units up (positive d)

How do you translate a graph of a function?

Each of the seven graphed functions can be translated by shifting, scaling, or reflecting: Shift — A rigid translation, the shift does not change the size or shape of the graph of the function. A shift will move the graph to a new location on the coordinate system. To move vertically, a constant is added or subtracted from each y-coordinate.

What are the different types of translations?

Translations are performed in three ways: 1 Shift — The graph of a function retains its size and shape but moves (slides) to a new location on the coordinate grid 2 Scale — The size and shape of the graph of a function is changed 3 Reflection — A mirror image of the graph of a function is generated across either the x-axis or y-axis

What happens to the y-coordinate when you scale a graph?

The y-coordinate is unchanged. Both vertical and horizontal shifts can be shown as a single expression. Scale — A non-rigid translation, the scale changes the size and shape of the graph of a function. Scaling can multiply or divide the coordinates (x, y), which changes the appearance and location of the graph.