How do you make a parabola wider on one side?

Here’s how to make a parabola wider or narrower or how to rotate it onto its side.
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Change a, Change the Graph
  1. When a is negative, the parabola flips 180°.
  2. When |a| is less than 1, the parabola opens wider.
  3. When |a| is greater than 1, the parabola opens more narrow.

How do you make a parabola wider on Desmos?

Parabola (shift and stretch) Use the green point to shift the graph. Use the purple point to stretch the graph. Type in your equation on line 3 to see if it is correct.

What makes a parabola narrow or wide?

A large positive value of a makes a narrow parabola; a positive value of a which is close to 0 makes the parabola wide. If a<0 in f(x)=ax2+bx+c, the parabola opens downward. In this case the vertex is the maximum, or highest point, of the parabola.

How do you make a stretched parabola?

How do you widen a graph on Desmos?

To enlarge the display, open the Graph Settings menu by clicking the wrench in the upper right hand corner. You can toggle between the default and large display using the radio buttons.

How do you stretch a graph on Desmos?

How do you make a stretched graph?

How do you find the stretch or compression of a parabola?

If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Given a function y=f(x) y = f ( x ) , the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression.

How do you stretch a quadratic?

How do you stretch a polynomial function?

How do you vertically stretch a function?

Key Points
  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 stretch a graph vertically by 4?

How do you stretch a sine graph horizontally?

To horizontally stretch the sine function by a factor of c, the function must be altered this way: y = f (x) = sin(cx) . Such an alteration changes the period of the function.

What does the stretch factor do?

Vertical stretch on a graph will pull the original graph outward by a given scale factor. When a base function is multiplied by a certain factor, we can immediately graph the new function by applying the vertical stretch.

How do you do a vertical stretch and compression?

How do you expand a graph horizontally?

Let “y = f(x)” be the given function and (x , y) by any point on the graph of the function y = f(x). If we want to perform horizontal expansion in the graph of the function y = f(x) by the factor “0.5”, we have to write the point (x , y) as (0.5x , y).

What is a vertical stretch example?

Examples of Vertical Stretches and Shrinks

looks like? Using the definition of f (x), we can write y1(x) as, y1 (x) = 1/2f (x) = 1/2 ( x2 – 2) = 1/2 x2 – 1. Based on the definition of vertical shrink, the graph of y1(x) should look like the graph of f (x), vertically shrunk by a factor of 1/2.

Does vertical stretch get wider?

What is the difference between stretch and compression?

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

Is vertical compression the same as horizontal stretch?

How do you tell if a graph shrinks or stretches?

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 graph horizontal stretch and compression?