How do you translate equations horizontally?

A horizontal translation is generally given by the equation y=f(x−a) y = f ( x − a ) .

How do you find the equation of a transformed graph?

Starts here5:18Finding the Equation of a Transformed Graph – YouTubeYouTubeStart of suggested clipEnd of suggested clip50 second suggested clipAnd then applying those changes to the specific function y equals x squared. And this is the methodMoreAnd then applying those changes to the specific function y equals x squared. And this is the method for finding the equation of a transformed graph from the equation of the original graph.

How do you find the horizontal shift of a word problem?

the horizontal shift is obtained by determining the change being made to the x-value. The horizontal shift is C. The easiest way to determine horizontal shift is to determine by how many units the “starting point” (0,0) of a standard sine curve, y = sin(x), has moved to the right or left.

How can you identify a function from a graph?

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

How do you translate a graph to the left?

To move a graph down, we add a negative value to the y-value. 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.

How do you translate a graph horizontally?

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. g(x) = f (x – k), can be sketched by shifting f (x) k units horizontally.

How do you solve equations with transformations?

Starts here4:01Transformation of Functions – Algebra Tutorial – YouTubeYouTube

How do you find the transformation equation?

Starts here1:26Given the transformations write the equation – YouTubeYouTube

How do you find the phase shift of a cosine graph?

In our case, the phase shift formula gives: A * sin(Bx – C) + D = A * sin(B * (x – C/B)) + D , which is a phase shift of C/B (to the right) of the function A * sin(Bx) . Of course, we can repeat the above for the cosine as well.

How do you find the period of cosine?

Starts here2:07Finding the Period and Amplitude of a Cosine Function – Quick ExampleYouTube

https://www.youtube.com/watch?v=naJLn84Ti4Q