How do you translate a rational function?

How do you translate rational functions?

A rational function in the form y = a/(x – h) + k is a translation of the graph y = a/x, where a translation is the sliding of a graph along a straight line. Both h and k in y = a/(x – h) + k give us vital information we can use to graph the function.

How do you translate a rational function to the left?

Video quote: Notice when C is positive the graph is shifted to the left which means we'd have X plus a constant in the denominator. So if C is positive the graph is shifted. Left.

How do you translate a function?

Summary

1. To horizontally translate a function, substitute ‘x-h’ for ‘x’ in the function.
2. The value for ‘h’ controls how much the graph shifts to the left or right.
3. In our example, since h = -4, the graph shifts 4 units to the left.
4. To vertically translate a function, add ‘k’ onto the end.

How do you translate a rational function horizontally?

A graph is translated horizontally by subtracting a number from the input of the function rule. Note that the number, h, is subtracted and not added. This is so that a positive h leads to a translation to the right, which is the positive x-direction.

What is the order for transformations?

Video quote: You can write horizontal translation first and then vertical. Or you can do vertical translation first and then horizontal. And on the other hand you can do vertical stretches.

How do you graph a rational function?

Graphing Rational Functions

1. Find the asymptotes of the rational function, if any.
2. Draw the asymptotes as dotted lines.
3. Find the x -intercept (s) and y -intercept of the rational function, if any.
4. Find the values of y for several different values of x .
5. Plot the points and draw a smooth curve to connect the points.

How do you find a rational equation?

A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, \frac{P(x)}{Q(x)}. Q(x)P(x). These fractions may be on one or both sides of the equation.

How do you find the equation of a rational function?

Video quote: The highest degree term would be x. Squared. If we were multiplying off the denominator the highest degree term would also be x squared. So the degree of the numerator and denominator are both 2.