Graphing a Quadratic Equation

• y=1

• x=1

• x= -1

• y= -1

The vertex is:

• The minimum point on a parabola

• The maximum point on a parabola

• Can be either

• (-3,6)

• (9,5)

• (-3,3)

• (1,7)

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6

is graphed on the right.

Find the coordinates for the x-intercepts, y-intercept and vertex

• (0, 3)

• y-intercept

• (-3, -6)

• x-intercept

• (-5.5, 0) (-0.5, 0)

• vertex

Label the following in the graph:

a

b

d

c

e

root/x-intercept left

root/x-intercept right

vertex

y-intercept

axis of symmetry (AOS)

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6 is graphed on the right. Find the coordinates for the x-intercepts, y-intercept and vertex

• (0, 3)

• y-intercept

• (-3, -6)

• x-intercept

• (-5.5, 0) (-0.5, 0)

• vertex

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4