How do you make an absolute value graph wider?

In absolute value graphs, a dilation makes the V either wider or thinner. We accomplish this by putting a value in front of the absolute value (for example, y=2|x| or y=1/3|x|).

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

  1. Step 1: Isolate the absolute value expression.
  2. Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
  3. Step 3: Solve for the unknown in both equations.
  4. Step 4: Check your answer analytically or graphically.

what determines if a parabola is narrow or wide? The coefficient of the quadratic term, a, determines how wide or narrow the graphs are, and whether the graph turns upward or downward. A positive quadratic coefficient causes the ends of the parabola to point upward. The greater the quadratic coefficient, the narrower the parabola.

Also asked, how do you find the absolute value?

The absolute value of a number is the number’s distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive. For example, negative 4 would become 4.

What does the A mean in a parabola?

As we can see from the graphs, when 0 < |a| < 1 (|a| means absolute value of a), the parabola appears wider. When |a| > 1, the parabola appears thinner. When a is positive, the parabola opens upwards; when a is negative, the parabola opens downward.

What determines the width of a parabola?

a determines the width and the direction of the parabola: The larger |a| becomes, the wider the parabola. If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward.

What are coefficients?

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. For example, if y is considered as a parameter in the above expression, the coefficient of x is −3y, and the constant coefficient is 1.5 + y.