Graphing Terminology

• vertex: the highest point on a graph
• asymptotote: a line that continually approaches a given curve but does not meet it at any finite distance.

- Verticle asymptotes: Y axis

- Horizontal aymptotes: X axis

vertex

asymptote

Graphing Form Of Parabolas

y= a(x-h)^2+k

a: wide or narrow

h: left or right (opposite of what you think)

k: up or down (positive or negative)

vertex: (h,k) ( h will be opposite sign)

Example: y=3(x+7)^2+3

a: 3 - narrow vertex: (-7,3)

h: left seven line of symmetry: x=-7

k: up three * don't have asymptotes

Parabolas are U shaped. In this case the parabola would be negative since its downward.

y=3(x+7)^2+3

Graphing Form Of Exponential

y= ab^(x-h)+k

a: wide or narrow

h: left or right (opposite of what you think)

k: up or down (positive or negative)

vertex: (h,k) ( h will be opposite sign)

Example: y=2^(x+1) + 3

a: 2 - narrow vertex: (-1,3)

h: left one horizontal asymptote: x= -1

k: up three

Exponential are shaped like half parabolas. This would be a positive slope

y=2^(x+1) +3

Graphing Form Of Cubic

y= a(x-h)^3+k

a: wide or narrow

h: left or right (opposite of what you think)

k: up or down (positive or negative)

vertex: (h,k) ( h will be opposite sign)

Example: y=3(x-2)^3+4

a: 3 - narrow vertex: (2,4)

h: left two line of symmetry: x=2

k: up four * don't have asymptotes

Cubic functions are "S" shaped.

y=3(x-2)^3+4

Graphing Form Of Square Root

y= a√x-h + k

a: wide or narrow

h: left or right (opposite of what you think)

k: up or down (positive or negative)

vertex: (h,k) ( h will be opposite sign)

Example: y=2√(x-3)+4

a: 2 - narrow vertex: (3,4)

h: right three line of symmetry: x=3

k: up four * don't have asymptotes

Square root functions are shaped like side ways parabolas.