This section is based on this slider document
Parabolas 101: Opens Up or Down FUNCTIONS
  • DESMOS File
  • this file will show 
    • vertex
    • axis of symmetry
    • focus
    • directrix line
    • x intercepts
    • y intercept
    • a, h, and k are integers
    • lines that help support the definition of a parabola
    • points with particular integer x values
    • points with particular integer y values

A < -1 Vertical Stretch and Vertical Reflection
vertex (0,0) 

​A < -1 Vertical Stretch and Vertical Reflection
​vertex (0,k) k any integer in [-10,10]

​A < -1 Vertical Stretch and Vertical Reflection
​vertex (h,0)  h any integer in [-10,10]

​A < -1 Vertical Stretch and Vertical Reflection
​​vertex (h,k) any integer in [-10,10]

-1 < A < 0 Vertical Compression and Vertical Reflection
vertex (0,0) 

​-1 < A < 0 Vertical Compression and Vertical Reflection
vertex (0,k)  k any integer in [-10,10]

​-1 < A < 0 Vertical Compression and Vertical Reflection
vertex (h,0) h any integer in [-10,10]

​-1 < A < 0 Vertical Compression and Vertical Reflection
​vertex (h,k) any integer in [-10,10]

0 < A < 1 Vertical Compression
vertex (0,0) 

0 < A < 1 Vertical Compression
vertex (0,k) with k any integer in [-10,10] ​

0 < A < 1 Vertical Compression
vertex (h,0) with h any integer in [-10,10]

0 < A < 1 Vertical Compression
vertex (h,k) any integer in [-10,10]

A > 1 Vertical Stretch
vertex (0,0) 

A > 1 Vertical Stretch
vertex (0,k) with k any integer in [-10,10] 

A > 1 Vertical Stretch
vertex (h,k) any integer in [-10,10]

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