1. Algebra 2 Name:_____________________
Graphing Quadratics Date:___________Block:_____
5.1 Graphing Quadratic Functions in Standard Form
f(x)=
f(x)=x2-x-6 x y -3 -2 -1 1 2 3
The graph of a quadratic function is called a _______________________.
Important Parts of a Parabola:
Axis of Symmetry Vertex X-Intercepts (Zeros) Y-Intercepts
If a > 0, the parabola opens _________. If a < 0, the parabola opens _________.
(_____________ “a”) (_____________”a”)
Axis of Symmetry
x=#
*recall x=# is a vertical line
Vertex
(x,y)
The vertex is a POINT!!!

2. ** The y-intercept will always be the ____ value
Examples: For each state the equation of the axis of symmetry and the vertex.
y=x2-6x+5
y=-x2-2x+1
Axis of Symmetry: x=___
Vertex:________
Axis of Symmetry: x=___
Vertex:________
Axis of Symmetry: x=___
Vertex:________
Axis of Symmetry: x=___
Vertex:________
Axis of Symmetry: x=___
Vertex:________
To find the x- and y- intercepts of a function….
Y-intercept
Replace "x" with 0.
Solve for "y."
X-intercept
Replace “y" with 0.
Solve for “x."
** The y-intercept will always be the ____ value
Practice: Identify the x and y intercepts for each.

3. Directions: For each quadratic identify the axis of symmetry, vertex, x- and y-intercepts. Graph the parabola using the information. Show all work. 1) 2)
Axis: x = ____ Vertex: (___, ___)
x-int: (___, 0) & (___, 0) y-int: (0, ___)
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________ 3) 4)
Axis: x = ____ Vertex: (___, ___)
x-int: (___, 0) & (___, 0) y-int: (0, ___)
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________ 5) 6)
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________

4. Algebra 2 Name: _________________________
Graphing Quadratics – Practice 1 Date: __________________________
Directions: For each quadratic identify the axis of symmetry, vertex, x- and y-intercepts. Graph the parabola using the information. Show all work.
1) f(x) = x2 – a = ___, b = ___, c = ___
2) y = -2x2 + 4x
Axis: x = ____ Vertex: (___, ___)
x-int: (___, 0) & (___, 0) y-int: (0, ___)
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________
3) y = -x2 + 2x + 3
4) f(x) = x2 + 6x + 8
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________
Axis: ____________ Vertex: ________
x-int: ____________ y-int: _________