How do you stretch a graph on the y axis?
How do you stretch a graph on the y axis?
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 ).
Is vertical stretch on Y axis?
Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph’s y values to be farther from the x-axis.
Is a horizontal stretch about the y axis?
Key Points If b>1 , the graph stretches with respect to the y -axis, or vertically. If b<1 , the graph shrinks with respect to the y -axis. In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .
Does horizontal stretch affect Y intercept?
function away from the y-axis from both the left and the right hand side. In a horizontal stretch, the y-intercept is unchanged.
How do you find the stretch of a function?
To find the vertical stretch of a graph, create a function based on its transformation from the parent function, plug in an (x, y) pair from the graph and solve for the value A of the stretch.
What does horizontal stretch mean?
Horizontal stretches are among the most applied transformation techniques when graphing functions, so it’s best to understand its definition. Horizontal stretches happen when a base graph is widened along the x-axis and away from the y-axis.
How do you write a horizontal stretch?
We can horizontally stretch f(x) to obtain g(x), so we divide the input value of f(x) by 5 to obtain g(x)’s expression: f(x/5). This means that in terms of f(x), g(x) = f(x/5) and h(x)= f(x/10). The function, f(x), passes through the point (6, 4).