What is a vertical stretch example?

How do you do a vertical stretch by a factor of 2?

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 ). Here are the graphs of y = f (x), y = 2f (x), and y = x.

How do you find vertical stretch and shift?

How do you find the vertical stretch of a parabola?

How do you write a vertical stretch by a factor of 5?

When we have |a| > 1, a · f(x) will stretch the base function by a scale factor of a. The input values will remain the same, so the graph’s coordinate points will now be (x, ay). This means that if f(x) = 5x + 1 is vertically stretched by a factor of 5, the new function will be equivalent to 5 · f(x).

What is a vertical stretch factor?

The vertical stretch of a graph measures the stretching or shrinking factor in the vertical direction. For example, if a function increases three times as fast as its parent function, it has a stretch factor of 3.

Does vertical stretch get wider?

How do you find the vertical stretch in vertex form?

The vertex form of a quadratic function is y=a(x−h)2+k where: |a| is the vertical stretch factor. If a is negative, there is a vertical reflection and the parabola will open downwards. k is the vertical translation.

How do you find vertical stretch or compression?

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.

Is a vertical shrink?

What are Vertical Stretches and Shrinks? While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape.

Is a vertical stretch the same as a horizontal shrink?

New member. There is a vertical stretch by a factor of 1/2, and a horizontal stretch by a factor of 1/2 because you would have to multiply all previous input values by 1/2 to get the same output as f(x).