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How do you find the vertex of an absolute value function?

How do you find the vertex of an absolute value function?


Answer

This is the generic formula: y = a |x-h|+k where (h,k) is the vertex of the triangle. In this case, you obtain the result y = |x - 3| when h=3 with a=1 and k=o. (which is to the right). You obtain y = |x - (-3)| if h=-3 is to the left, which is the same as y = |x+3| if h=-3 is to the right.

 

What exactly is the vertex of an absolute value function in this case?

The Absolute Value Function f (x) = | x| is shown on a graph. The graph is shaped like a "V," with its vertex located at (0, 0). When seen from the right side of the vertex, it has a slope of 1; nevertheless, when viewed from the left side, its slope is - 1. We can manipulate the graph by translating it, stretching it, shrinking it, and reflecting it.

 

It is also possible to inquire as to what the equation is for determining the vertex.

Parabolas always have a moment at which they are at their lowest (or a highest point, if the parabola is upside-down). The "vertex" of a parabola is the point at which the parabola reverses its direction. When the quadratic equation is stated in the form y = a(x – h)2 + k, the vertex is the place where the equation begins (h, k).

 

People have also inquired as to how one goes about determining the vertex and axis of symmetry of a symplectic absolute value function?

When considering a function graph, a line of symmetry is a vertical line that separates the graph into two mirror representations of each other. When looking at an absolute value graph, you will see that it has one axis of symmetry that crosses through it. When f (x) = |x| is used to define the absolute value function, it is said to be true.

 

What is the best way to determine the domain and range of a graph?

Graphs may be used to determine the domain and range of functions in addition to other methods. Because the domain refers to the set of potential input values, the domain of a graph consists of all of the input values that are represented on the x-axis of the graph. It is the set of potential output values that are shown on the y-axis that is known as the range.

 

There were 33 related questions and answers found.

 

What is the axis of symmetry in this case?

A parabola represents the graph of a quadratic function. In the case of a parabola, the axis of symmetry is defined as a vertical line that splits the parabola into two congruent halves. The axis of symmetry always travels via the vertex of the parabola, no matter how complex the shape is. The equation of the axis of symmetry of the parabola is represented by the x-coordinate of the vertex.

 

What is the best way to graph an inequality?

How to Draw a Linear Inequality on a Chart Transform the equation such that the variable "y" is on the left and everything else is on the right. Y> or y> are "greater than" and "less than" respectively. Shade above the line for a "greater than" and below the line for a "less than" (y> or y>) are "greater than" and below the line for a "less than" respectively.

 

In mathematics, what is a parent function?

a parent function in mathematics is the simplest function in a family of functions that retains the definition (or form) of the whole family of functions For example, consider the generic form of the family of quadratic functions. It is the most basic function.

 

Is it always the case that the domain contains only real numbers?

In this case, the domain consists of all real numbers, and the range consists of all real numbers f(x) such that f(x) = 7. The correct solution is: c) The domain consists of all real numbers x such that x is greater than zero, and the range consists of all real numbers Incorrect. Positive values for x are permitted, but only within a certain range due to the fact that x2 0.

 

What does F X look like on a graph?

Graphs of functions are the collection of all points in a plane of the form (x, f(x)) that represent the function f. We may alternatively define the graph of f as the graph of the equation y = f, which is a similar definition (x). As a result, the graph of a function is a particular instance of the graph of a mathematical equation.

 

What is the best way to graph parabolas?

The values of the coefficients a and b from your parabolic equation are used in the formula x = -b 2a to solve for x, which is the initial coordinate of the vertex, in order to graph a parabola. After that, insert x into your equation again to get the value of y, which is the second coordinate of the vertex.

 

What does exponential growth look like when shown on a chart?

In the case of an exponential growth function, the formula is y = abx where a > 0 and b > 1 and when a > 0. As seen in the case of f(x) = 2x below, the graph will curve upward as the value of x increases. In graph theory, the value of y = 0 represents a horizontal asymptote, toward which the graph is moving as the x-axis continues to the left.