Variables
In standard form, what does c do?
ax2+bx+c
Determines the y-intercept
y=x2
Positive
Identify what the y-intercept is
How can it be found in Standard Form?
How can it be found in Vertex Form?
Where the parabola crosses the y intercept
Standard: c
Vertex: k
Would it be easier to use standard form or vertex form to find the y-intercept?
Standard
In vertex form, what does h do?
It determines the axis of symmetry
y=-2x2
Negative
Identify what the x-intercept is
Where the graph crosses the x-axis
Would it be easier to use standard form or vertex form to find the vertex?
Vertex form
It determines the y-value of the vertex
(x-1)2 - 1
Positive
Identify what the axis of symmetry is
How can it be found in Standard Form?
Vertex Form?
The line which the parabola has a mirror reflection
Standard: x = -b/2a
Vertex: x = h
Would it be easier to use standard form or vertex form to find the x-intercepts?
Standard form
Identify which equation the variable 'a' is in and how it affects the equation.
Both forms, How wide or narrow the parabola is, and whether or not it it positive or negative
y= -3( x+2 )2 + 3
Negative
Identify what the vertex is
How can it be found in Standard Form?
Vertex Form?
The minimum or maximum of a parabola
Standard: Plug the axis of symmetry into the standard form equation
Vertex: (h , k)
Would it be easier to use standard form or vertex form to find the axis of symmetry?
Vertex form
What equation is the variable 'b' used in, what does it do?
Standard Form, it changes the axis of symmetry and the vertex
y = -2x2 + 4x + 3
Negative
Identify what the zeros are.
How do you find them in Standard Form?
The point(s) at which the parabola crosses the x-axis
Standard: Factoring or Quadratic Equation
Would it be easier to use standard form or vertex form to graph the equation?
Vertex form