# How do you find the turning point of a curve?

Differentiating an equation gives the gradient at a certain

**point**with a given value of x. To**find turning points**,**find**values of x where the derivative is 0. Thus, there is on**turning point**when x=5/2. To**find**y, substitute the x value into the original formula.A.

### What is the turning point of the graph?

This happens because the sign of f(x) changes from one side to the other side of r. there is at most n - 1

**turning points**on the**graph**of f. A**turning point**is a**point**at which the**graph**changes direction.#### Is the vertex the same as the turning point?

This property is called symmetry. We say that the graph is symmetrical about the y-axis, and the y-axis is called the axis of symmetry. So, the axis of symmetry has equation x = 0. (0, 0) is called the**turning point**or**vertex**of the parabola.#### What is the maximum number of turning points?

You can see this easily if you think about how quadratic equations (degree 2) have one turning point, linear equations (degree 1) have none, and cubic equations (degree 3) have 2 turning points at most. In this case, the highest degree is**14**, so the maximum number of turning points is**13**.#### What is the degree of the polynomial?

The**degree of a polynomial**is the highest**degree**of its monomials (individual terms) with non-zero coefficients. The**degree**of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. For example, the**polynomial**which can also be expressed as has three terms.

B.

### What is the turning point in math?

A

**turning point**is a**point**at which the derivative changes sign. A**turning point**may be either a relative maximum or a relative minimum (also known as local minimum and maximum). If the function is differentiable, then a**turning point**is a stationary**point**; however not all stationary**points**are**turning points**.#### Is a stationary point the same as a turning point?

**Stationary point**is the more general term. Anywhere where the gradient (therefore derivative) of a graph/function is 0, is a**stationary point**. If it is a maximum or minimum, then it is also a**turning point**. However, there is a third type of**stationary point**which is not a**turning point**(max or min).#### What is the turning point of the story?

The five elements of plot are the exposition, rising action, climax, falling action and resolution or denouement. The climax is the**turning point**of the**story**, the**point**to which the rising action has been building and the**point**at which the characters have what they need to resolve the conflict.#### Which polynomial function has an end behavior of up and down?

Since the**leading**coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. Therefore, the end-behavior for this polynomial will be: "Down" on the**left**and "up" on the right.

C.

### Is the vertex the same as the turning point?

This property is called symmetry. We say that the graph is symmetrical about the y-axis, and the y-axis is called the axis of symmetry. So, the axis of symmetry has equation x = 0. (0, 0) is called the

**turning point**or**vertex**of the parabola.#### What is the vertex form of a quadratic equation?

f (x) = a(x - h)^{2}+ k, where (h, k) is the**vertex**of the**parabola**. FYI: Different textbooks have different interpretations of the reference "standard**form" of a quadratic function**. (h, k) is the**vertex**of the**parabola**, and x = h is the axis of symmetry.#### How do you graph a circle?

Graphing a**circle**anywhere on the coordinate plane is pretty easy when its equation appears in center-radius form. All you do is plot the center of the**circle**at (h, k), and then count out from the center r units in the four directions (up, down, left, right). Then, connect those four points with a nice, round**circle**.#### How do you find the minimum value of a function?

We can identify the**minimum**or maximum**value**of a parabola by identifying the y-coordinate of the vertex. You can use a graph to identify the vertex or you can**find**the**minimum**or maximum**value**algebraically by using the formula x = -b / 2a. This formula will give you the x-coordinate of the vertex.

Updated: 3rd December 2019