What Is The Word For Stretching A Graph? (Best solution)

  • 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.

What is it called when a graph is stretched?

Vertical Stretches and Compressions. 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.

What does it mean when a graph is horizontally stretched?

A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). Examples of Horizontal Stretches and Shrinks.

What does it mean to stretch in math?

stretch. A stretch or compression is a function transformation that makes a graph narrower or wider. stretching. Stretching a graph means to make the graph narrower or wider.

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What do it mean to stretch or shrink a graph?

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.

What is a compressed graph?

A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.

What is a stretch and 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.

What does a vertical stretch mean?

What is a vertical stretch? 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.

How do you vertically stretch a graph?

Key Takeaways

  1. When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
  2. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ).
  3. In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ).

How do you translate a graph vertically?

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically. g (x) = f (x) + k; can be sketched by shifting f (x) k units vertically.

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What are stretches in geometry?

The image of a dilation is the same shape as the original figure, but is not necessarily the same size. If a figure is enlarged (or reduced) in only one direction, the change is referred to as a stretch. In a stretch, the figure is distorted, and is not necessarily similar to the original figure.

How do you find the stretch factor of a graph?

1 Answer

  1. Refer to: y=af(b(x−h))+k.
  2. A vertical stretch is the stretching of a function on the x-axis.
  3. A horizontal stretch is the stretching of a function on the y-axis.
  4. For example:
  5. b=12.
  6. To vertically stretch we use this formula:
  7. To horizontally stretch we use this formula:
  8. x1=x12.

What does 2f A mean?

2f(a) is two times the value of f applied at a. For example, if f(x) = x^2, then f(2a) = (2a)^2 = 4a^2, and 2f(a) = 2a^2.

What is transformation form?

The transformational form of an equation is a form that has. the x2 by itself. y = -x2. y = -x2 – 1. y = x2 + 8.

Why are horizontal stretches opposite?

Why are horizontal translations opposite? While translating a graph horizontally, it might occur that the procedure is opposite or counter-intuitive. That means: For negative horizontal translation, we shift the graph towards the positive x-axis.

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