Understanding the basic transformations of graphs for Pre Calculus

👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the transformation. You will also learn how to graph a transformation by looking at an equation and using its parent graph.

Organized Videos:
✅ Characteristics of Functions
✅ Is the Function Even or Odd | Rational
✅ Is the Function Even or Odd | Polynomial
✅ Is the Function Even or Odd | Radical
✅ Is the Function Even or Odd | Learn About
✅ When is the Function Increasing Decreasing or Neither
✅ How to Find the Extrema on a Graph
✅ Describe the Characteristics of a Graph
✅ Describe the Transformations of a Graph
✅ Describe the Transformations of a Graph

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#functions #brianmclogan

[rb]

Thanks for helping, you taught me this in 10 minutes while my math teacher half taught it in 3 hours. 👊 ur cool

[ltjedi]

wow, I'm in summer school and they expect me to do this PRE-CALC stuff when its an ALGEBRA course. once again, you are a life

[weeeep]

Hi, you've possibly explained this in earlier lessons however I'm watching this out of context—why is your 'h' variable treated differently to the 'a' or 'k' variable?

For example as you demonstrated: y=(x+2)^2 can be expressed as y=(x-(-2))^2 resulting in h=-2 representing a "left shift" translation

then you follow on to say: "If 'k' is positive you're going up"
If we were to follow the same logic as above couldn't you express y=(x)^2+2 as y=(x)^2-(-2) resulting in k=-2 representing a "downward shift" translation?

Edit: obviously this has something to do with the translation being "inside" or "outside" of the function (inside being opposite) but I haven't found a clear explanation as to why this is.