Vertex Form
x-coordinate
The "h" term represents which coordinate of the vertex?
true
When the absolute value of "a" is between 0 and 1, the graph will be vertically compressed (looks chubby)
false
When the absolute value of "a" is between 0 and 1, the graph will be vertically stretched (looks skinny)
the graph will translate left 6 untis, down 8 units
How will the graph move? y = (x + 6)² - 8
right 3, up 9
How will the graph move? y = (x - 3)² + 9
down
If "a" is negative, the parabola opens
up
If "a" is positive, the parabola opens
y-coordinate
The "k" term represents which coordinate of the vertex?
Axis of Symmetry: x = h
The axis of symmetry is the x-coordinate of the vertex (known as "h" in the vertex form equation)
Parabola
The graph of a quadratic equation forms what type of image?
"h"
This letter represents a HORIZONTAL (left or right) shift
"k"
This letter represents a VERTICAL (up and downI) shift
"a"
This letter represents a Vertical Stretch or Vertical Compression
vertical compression (also called a vertical shrink)
What is the transformation of y = 0.5x²
vertical stretch
What is the transformation of y=2x²
vertex (-5, 7)
What is the vertex of: y = -3(x + 5)² + 7
down, "a" is negative. the graph will translate 6 units to right and 1 unit up
Will the graph open up or down? How will the graph move? y = -2(x - 6)² + 1
up, "a" is positive; the graph will translate 2 units to the right and 3 units up
Will the graph open up or down? How will the graph move? y = 4(x - 2)² + 3
vertex form function
f(x) = a(x -h)² + k
vertex
the maximum or minimum of a parabola
parent function
the most basic quadratic function without any transformations, y = x²