Quadratic Key Features

Select the x-intercepts of the graph.

Select the vertex of the graph.

Select the y-intercept of the graph.

Determine if the following are either x-intercepts, y-intercepts, or a vertex.

Groups:

(a) x-intercept

,

(b) y-intercept

,

(c) vertex

• (-3,0)

• a maximum

• (5,0)

• (0,5)

• 
• (1,9)

• 
• a minimum

• (7,0)

• 
• (0,-2)

• 
• 
• 

Label the following important points on the graph.

a

b

c

d

h

(+) x-intercept

(-)x-intercept

Minimum

Vertex

Domain

Range

Maximum

y-intercept

Determine the number of real solutions each quadratic graph has.

Groups:

(a) 2 Real Solution

,

(b) 1 Real Solution

,

(c) No Real (2 Complex) Solutions

• (x+7)(x-2)

• 
• -(x+1)(x-5)

• 
• 
• 
• 
• 
• 

Match the following factors to x-intercept

• (3,0)

• (x-3)

• (-5,0)

• (x+5)

• (-3,0)

• (x+3)

• (5,0)

• (x-5)

• (0,0)

• x

Match the following graphs to the correct factored form

• (x+1)(x+4)

• 
• (x-1)(x-5)

• 
• -(x+1)(x-2)

• 
• x(x-4)

• 
• -x(x-4)

• 

Determine the following:

x-intercept:​ (a)   ​ (b)  

vertex: ​ (c)  

Domain:​ ​ (d)  

Range: ​ (e)  

• (1,0)
• (5,0)
• (3,-4)
• (-4,3)
• (-inf, +inf)
• (+inf, -inf)
• [-4, +inf)
• (-inf, -4]

Determine if the graphs have a maximum or minimum

Groups:

(a) Maximum

,

(b) Minimum

• 
• 
• 
• -(x+2)(x-4)

• 
• -(x+1)(x-3)

• (x+5)(x-1)

• (x+1)(x+3)