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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding Vertical Stretch | Exploring the Effects of Multiplying a Function by a Constant Greater than 1

y=af(x) a>1 In the given equation, y = af(x), where a is a constant greater than 1, we are dealing with a transformation of the function f(x)...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding Horizontal Shifts in Functions | Exploring the Equation Y = f(x – c)

Y=f(x-c) The equation Y = f(x – c) represents a transformation of a function f(x) by a horizontal shift to the right, or positive c units The...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding the Transformation | Effects of Multiplying the Input in Mathematics

y=f(bx), b>1 In mathematics, the given equation y = f(bx) represents a function that relates the variable y to the variable bx, where b is a constant...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding Scaling Factors in Mathematical Transformations

y=af(x), 0
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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding the Converse in Mathematics | Reversing Hypothesis and Conclusion in Conditional Statements

converse In mathematics, the term “converse” refers to a statement that is obtained by reversing the hypothesis and conclusion of a conditional statement In mathematics, the term...
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  • John Rhodes
  • July 30, 2023
  • Geometry

The Role of Hypothesis and Conclusion in Mathematical Reasoning and Proof

Hypothesis and conclusion In mathematics, a hypothesis is a proposed statement or claim that aims to explain a certain phenomenon or problem In mathematics, a hypothesis is...
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  • John Rhodes
  • July 30, 2023
  • Geometry

Understanding the Vertical Angles Theorem | Congruency of Opposite Angles in Intersecting Lines

Vertical Angles Theorem The Vertical Angles Theorem states that when two lines intersect, the pairs of opposite angles formed are congruent The Vertical Angles Theorem states that...
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  • John Rhodes
  • July 30, 2023
  • Geometry

How to Write a Two-Column Proof | A Step-by-Step Guide

Two-column and paragraph Two-Column Proof: A two-column proof is a type of mathematical proof that organizes the statements and reasons in two columns Two-Column Proof: A two-column...
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