Graphing Quadratics

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

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

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Using your calculator, graph y = -3x² + 6x - 5 and identify the max or min.

• Max: (1, -2)

• Min: (1, -2)

• Max: (-2, 1)

• Min: (-2, 1)

What is the orange line called?

• Line of Solutions

• Roots

• Vertex

• Axis of Symmetry

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?​

• D

• A

• B

• C

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

Label the following in the graph:

a

b

d

c

e

axis of symmetry (AOS)

root/x-intercept right

vertex

root/x-intercept left

y-intercept

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 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

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown