## What does HK mean in math?

f (x) = a(x – h)2 + k, where (h, k) is the vertex of the parabola. (h, k) is the vertex of the parabola, and x = h is the axis of symmetry. • the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

## Why is HK the vertex?

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it’s because the quantity “x – h” is squared, so its value is always zero or greater; being squared, it can never be negative. When x – h, the squared part, is zero; in other words, when x = h.

**What does HK represent in the circle equation?**

The general equation for a circle is (x – h)² + (y – k)² = r², where (h, k) represents the center of the circle, r is the radius, and x and y form the coordinates of all the points on the circle’s perimeter.

**What does HK stand for in the standard circle equation?**

What does (h,k) standard for in the standard circle equation? (h,k) is the center of the circle. (h,k) is a point on the circle. (h,k) is a point that we guess and find. (h,k) is the distance of the circle.

### What is the standard equation of a parabola with vertex at HK?

The standard form is (x – h)2 = 4p (y – k), where the focus is (h, k + p) and the directrix is y = k – p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2 = 4p (x – h), where the focus is (h + p, k) and the directrix is x = h – p.

### What is the formula of H and K?

If you’ve already learned the Quadratic Formula, you may find it easy to memorize the formula for k, since it is related to both the formula for h and the discriminant in the Quadratic Formula: k = (4ac – b2) / 4a.

**Where is the HK on a parabola?**

How To: Given a standard form equation for a parabola centered at (h, k), sketch the graph.

- use the given equation to identify h and k for the vertex, (h,k)
- use the value of h to determine the axis of symmetry, x=h.
- set 4p equal to the coefficient of (y−k) in the given equation to solve for p .

**Why is x2 y2 r2?**

Thus, using the theorem of Pythagoras, x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

#### How do you tell if an equation represents a circle?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.