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  • John Rhodes
  • July 30, 2023
  • Algebra

How ‘a’ Influences the Shape and Width of a Parabola in the Equation f(x) = a(x – h)^2 + k

What does the value of ‘a’ do? f(x)=a(x-h)^2+k In the equation you provided, f(x) = a(x – h)^2 + k, ‘a’ represents the coefficient that determines the...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding the Properties and Operations of Negative Numbers in Mathematics

If ‘a’ is negative, If ‘a’ is negative, it means that the value of ‘a’ is less than zero If ‘a’ is negative, it means that the...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Determining Parabola Direction | Positive ‘a’ Leads to an Upwards Happy Face Parabola, Negative ‘a’ Leads to a Downwards Sad Face Parabola

Easy way to remember the parabola’s direction based on ‘a”s sign, To determine the direction of a parabola based on the sign of ‘a’, you can use...
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  • John Rhodes
  • July 30, 2023
  • Algebra

How to Find the Vertex of a Quadratic Function | Step-by-Step Guide with Examples

Finding the vertex. f(x)=a(x-h)^2+k To find the vertex of a quadratic function in the form f(x) = a(x-h)^2 + k, we can use the values of h...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Finding the Vertex and Axis of Symmetry for a Parabolic Equation | Step-by-Step Guide

Finding the axis of symmetry, “AoS”. f(x)=a(x-h)^2+k The axis of symmetry (AoS) is a line that divides a parabolic graph into two symmetric halves The axis of...
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  • John Rhodes
  • July 30, 2023
  • Algebra

A Step-by-Step Guide to Finding x-Intercepts of a Quadratic Equation

How to find the x-intercepts for the equation f(x)=a(x-h)^2+k To find the x-intercepts of the equation f(x) = a(x-h)^2 + k, we need to set f(x) equal...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding and Applying the Square Root Property in Equations for Finding Solutions

When getting rid of the square root, remember the square root property. The square root property is a property of equations involving square roots The square root...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Exploring the Mathematical Relationship of Y and bx in the Equation Y = f(bx)

Y=f(bx) where 0
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