Understanding Conic Sections and Their Properties

Square root of (x2 - x1)^2 + (y2 - y1)^2

x2 + x1 + y2 + y1

x2 - x1 + y2 - y1

(x2 + x1) / 2, (y2 + y1) / 2

Add the x-coordinates and y-coordinates separately and divide by 2

Subtract the x-coordinates and y-coordinates separately

Multiply the x-coordinates and y-coordinates separately

Divide the x-coordinates and y-coordinates separately

Both x and y are squared

Neither x nor y is squared

The y is squared

The x is squared

(-p, 0)

(0, p)

(p, 0)

(0, -p)

Makes it narrow

Makes it taller

No effect

Makes it wide

Multiply the constant term by 2

Take the square root of the constant term

Divide the constant term by 2

Square the constant term

Different coefficients for x^2 and y^2

Only x is squared

Only y is squared

Both x and y are squared with the same coefficient

Only y is squared

Only x is squared

A minus sign between x^2 and y^2

A plus sign between x^2 and y^2

By the constant term

By the presence of a plus or minus sign between terms

By the coefficients of x and y

By checking if x and y are both squared

Graph both equations

Add the equations together

Subtract one equation from the other

Substitute one equation into the other