h of the vertex form a(x+h)^2+k

• horizontal translation (left positive/ right negative)
• Rate of Change
• Degree of the term with the highest degree in the polynomial.
• "left hand" is "less than"

vertex

• f(x-h)
• -a
• opposite/inverse
• (h, k)

k of the vertex form a(x+h)^2+k

• y-coordinate of a point where the graph crosses the y axis, when x=0
• vertical shift (up positive/down negative)
• "a" is between 0 and 1
• •Less than

horizontal shift right

• All whole numbers (both positive and negative) and zero.
• combine the like terms
• -h
• where the graph crosses the x-axis

horizontal shift left

• "left hand" is "less than"
• +k

• -h

• +h

vertical shift up

• -h

• -k

• +k
• is a sequence of terms that have a common ratio between them

vertical shift down

• Reflection
• f(x-h)
• -k
• approaches positive infinity

reflection over the x-axis

• -a
• y=a(x-p)(x-q)
• shift up or down

vertical stretch

• The solutions are opposites of the factors.
• a is less than 1

• a>1
• •No more than

vertical shrink

• 0 < a < 1
• y-intercept
• Exponential
• Common Difference