in vertex form

USAGE SUMMARY

The phrase "in vertex form" is correct and usable in written English.
It is typically used in mathematics, particularly in the context of quadratic equations, to describe a specific way of expressing the equation. Example: "The quadratic equation can be rewritten in vertex form to easily identify the vertex of the parabola."

✓ Grammatically correct

Wiki

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Write the equation in vertex form.

WikiHow

As with h, k is already known in vertex form equations.

WikiHow

In vertex form equations, your value for h is already given, but in standard form equations, it must be calculated.

WikiHow

This method may work for simple quadratic equations, especially in vertex form, but will prove exceedingly difficult for more complicated ones.

WikiHow

An average algebra problem will give you a quadratic equation with the variables filled in, usually in standard form, but sometimes in vertex form.

WikiHow

If you have the equation of a parabola in vertex form y = a(x - h)2 + k, then the vertex is at (h, k) and the focus is (h, k + 1/(4a)).

WikiHow

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

In our vertex form example, our vertex is at (5,12).

WikiHow

Rewrite the original equation in its vertex form.

WikiHow

In our vertex form example (f(x) = 4(x - 5 2 + 12), we know h = 5 without doing any math.

WikiHow

In our vertex form example, again, we know the value of k (which is 12) without having to do any math.

WikiHow

[Ti(OH 4(OH2)2]0 monomers (in which OH groups occupy octahedron equatorial planes and H2O molecules are in the vertexes) form in neutral or alkaline mediums [20, 25].

Nanoscale Research Letters

Expert writing Tips

Best practice

When discussing quadratic equations, use "in vertex form" to clearly indicate that the equation is expressed as y = a(x - h)² + k, where (h, k) is the vertex.

Common error

Avoid using "in vertex form" when you actually mean standard form (ax² + bx + c). Using the wrong form can lead to incorrect identification of the vertex and other key parameters.

Linguistic Context

The phrase "in vertex form" functions as an adverbial phrase modifying a verb, adjective, or noun. Ludwig AI analysis of example sentences confirms that it specifies the state or representation of a mathematical equation, particularly quadratic equations. It answers the question of how the equation is expressed.

Expression frequency: Uncommon

Frequent in

Wiki

40%

Science

30%

Academia

30%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "in vertex form" is a technical term primarily used in mathematics to describe a specific representation of equations, particularly quadratic equations. As Ludwig AI confirms, it indicates the equation is structured to easily reveal its vertex. This expression is common in academic and scientific contexts, as evidenced by its frequent occurrence in sources like WikiHow and research papers. When writing about quadratic equations, using "in vertex form" ensures clarity and precision in communicating the equation's structure and properties.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

vertex form equation

Changes the preposition to an adjective specifying the type of equation.

in canonical form

Replaces "vertex" with "canonical", referring to a standard or simplest form.

vertex form representation

Replaces "form" with "representation", focusing on how something is expressed.

in standard form

Indicates a different, but related, standard mathematical representation.

expressed in vertex form

Adds a verb to explicitly state that something is being represented in a certain way.

written in vertex form

Similar to 'expressed in', but uses 'written' to emphasize the equation's notation.

using vertex form

Shifts the focus to the method used rather than the state of the equation.

vertex format

Uses 'format' instead of 'form' suggesting a structured layout.

in terms of vertex coordinates

Specifies the elements that define the form, focusing on vertex location.

vertex-based representation

Uses an adjective form to describe representation centered on vertex properties.

FAQs

How do I convert a quadratic equation to "in vertex form"?

You can convert a quadratic equation to "in vertex form" by completing the square. This involves manipulating the equation to isolate the squared term and identify the vertex coordinates (h, k).

What are the benefits of expressing a quadratic equation "in vertex form"?

Expressing a quadratic equation "in vertex form" allows you to easily identify the vertex (h, k) of the parabola, which represents the maximum or minimum point of the function. It also simplifies graphing the parabola.

What is the difference between standard form and "in vertex form" of a quadratic equation?

Standard form (ax² + bx + c) and "in vertex form" (a(x - h)² + k) are two different ways to represent a quadratic equation. While standard form is useful for finding the y-intercept, "in vertex form" directly reveals the vertex of the parabola.

Can "in vertex form" be used for equations other than quadratics?

While the term "in vertex form" is most commonly associated with quadratic equations, the concept of expressing an equation to highlight key features or a "vertex" (extreme point) can be extended to other types of equations, though the specific form will vary.