# What does HK mean in math?

## 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.

1. use the given equation to identify h and k for the vertex, (h,k)
2. use the value of h to determine the axis of symmetry, x=h.
3. 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.