# How do you find the asymptote of an exponential graph?

## How do you find the asymptote of an exponential graph?

Exponential Functions A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e–6x – 4 is: y = -4, and the horizontal asymptote of y = 5 (2x) is y = 0.

### What does an exponential graph look like?

An exponential growth function can be written in the form y = abx where a > 0 and b > 1. The graph will curve upward, as shown in the example of f(x) = 2x below. Notice that as x approaches negative infinity, the numbers become increasingly small.

**How do you translate graphs?**

Transformations of Graphs 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. if k < 0, the base graph shifts k units downward.

**How do you find the vertical asymptote of an exponential function?**

Hint:In order to determine the vertical asymptote of exponential function, consider the fact that the domain of exponential function is x∈R.So there is no value of x for which y does not exist . So no vertical asymptote exists for exponential function.

## Which exponential function shows a vertical stretch?

Exponential Functions

Figure 1 | Figure 2 |
---|---|

Vertical Stretch , that has been stretched vertically with respect to the base function, | Vertical Shrink , that has been compressed vertically with respect to the base function, f2 (x) = 2 x. |

### How to graph the exponential function f ( x )?

Graph the Exponential Function f (x) = 4(1 4)x f ( x) = 4 ( 1 4) x by plotting the Vertical Intercept and one other point. Then write the Vertical Intercept as an ordered pair. [more..] In addition to shifting, compressing, and stretching a graph, we can also reflect it about the x -axis or the y -axis.

**How to do horizontal and vertical translations of exponential functions?**

1 Draw the horizontal asymptote y = d. 2 Shift the graph of f (x) =bx f ( x) = b x left c units if c is positive and right c c units if c is negative. 3 Shift the graph of f (x) =bx f ( x) = b x up d units if d is positive and down d units if d is negative.

**How does an exponential function maintain its shape?**

For instance, just as the quadratic function maintains its parabolic shape when shifted, reflected, stretched, or compressed, the exponential function also maintains its general shape regardless of the transformations applied. , giving us a vertical shift d units in the same direction as the sign.

## How did Sal calculate the Y value of the exponential graph?

If you are talking about the 2 in the column labeled x, that is a value that Sal selected. He selected all of the x values and used them to calculate the y values. Comment on AD Baker’s post “Vmone, If you are talki…”