How do you make a graph stretch?
To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).
How do you write a reflection graph?
We have an image of f(x), and we want to graph -f(x). To do this, we simply find a few points on the graph, multiply the y-coordinate by a negative, and plot the new points. Lastly, we connected the plotted points in an appropriate curve that is the same shape as the original function, just reflected over the x-axis.
How do you shift a graph up and down?
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down.
How do you find the shift on a graph?
To find the phase shift from a graph, you need to:
- Determine whether it’s a shifted sine or cosine.
- Look at the graph to the right of the vertical axis.
- Find the first:
- Calculate the distance from the vertical line to that point.
- If the function was a sine, subtract π/2 from that distance.
How do you shift a graph?
How do you shift a graph vertically?
Both linear and curvilinear graphs can be vertically shifted. To shift the graph of an equation vertically, add or subtract a number from the constant. The formula for an upward shift is g(x) = f(x) + c, and the formula for a downward shift is g(x) = f(x) – c.
How do you tell if a graph is compressed or stretched?
How To
- Identify the value of a .
- Multiply all range values by a .
- If a>1 , the graph is stretched by a factor of a . If 0
How do you know if a graph is compressed or stretched?
What is the difference between a vertical stretch and a horizontal stretch?
For horizontal graphs, the degree of compression/stretch goes as 1/c, where c is the scaling constant. Vertically compressed graphs take the same x-values as the original function and map them to smaller y-values, and vertically stretched graphs map those x-values to larger y-values.