John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Calculus

Understanding the Equation and Properties of Vertical Parabolas in Mathematics

Vertical Parabola Formula The formula for a vertical parabola is generally given by the equation: y = a(x – h)^2 + k In this equation: – “a”...

John Rhodes
July 6, 2023
Calculus

Understanding the Formula for a Horizontal Parabola and Its Impact on the Direction and Vertex Coordination

Horizontal Parabola Formula The formula for a horizontal parabola can be written as: y = a(x – h)^2 + k where: – y represents the dependent variable...

John Rhodes
July 6, 2023
Calculus

How to Graph a Circle Using its Equation in Standard Form: Step-by-Step Guide and Tips

Graph Circle Formula To graph a circle using its equation in standard form (x-h)^2 + (y-k)^2 = r^2, where (h, k) represents the center of the circle...

John Rhodes
July 6, 2023
Calculus

Understanding the Equation for a Vertical Hyperbola: Shape, Orientation, and Graphing

Vertical Hyperbola Formula The equation for a vertical hyperbola can be written in the form: (x – h)^2 / a^2 – (y – k)^2 / b^2 =...

John Rhodes
July 6, 2023
Calculus

How to Graph a Horizontal Hyperbola: Steps and Formulas

Horizontal Hyperbola Formula The formula for a horizontal hyperbola can be represented as: (x – h)^2 / a^2 – (y – k)^2 / b^2 = 1 where...

John Rhodes
July 6, 2023
Calculus

Understanding the Equation of a Vertical Ellipse: Explained with Formulas, Definitions, and Properties

Vertical Ellipse Formula The equation of a vertical ellipse is given by: (x – h)^2 / a^2 + (y – k)^2 / b^2 = 1 where (h,...

John Rhodes
July 6, 2023
Calculus

Understanding the Formula for a Horizontal Ellipse: Explained Step by Step

Horizontal Ellipse Formula The formula for a horizontal ellipse is given by: ((x-h)^2 / a^2) + ((y-k)^2 / b^2) = 1 In this formula: – (h, k)...

John Rhodes
July 6, 2023
Calculus

Understanding the Sign Change of f'(x): Transition from Increasing to Decreasing Function, Critical Point Analysis.

When f ‘(x) changes from positive to negative, f(x) has a When f'(x) changes from positive to negative, it means that the derivative of the function f(x)...