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