Vertex Form

What is the vertex form?

• $y=mx+b$
  

• $y=ax^2+bx+c$

• $y=a\left(x-c\right)^2+d$

How can you find the vertex in vertex form?

 $y=a\left(x-c\right)^2+d$  

• 
  

  $\left(c,d\right)$
  

• $\left(x,a\right)$

• $\left(x,d\right)$

• $\left(a,d\right)$

How can you find the axis of symmetry in vertex form? $y=a\left(x-c\right)^2+d$  

• $x=d$

• $x=a$

• $x=c$

•  $x=-c$  

What is the axis of symmetry for the following equation?

Tags

CCSS.HSF-IF.C.7A

Select all of the following statement that are true about the graph.

• The graph has a maximum.

• The vertex is $\left(2,2\right)$ .

• The axis of symmetry is

  $y=2$ .
  

• There are no x intercepts.

Tags

CCSS.HSF-IF.C.7A

Which graph represents the function below?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

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

Given the function below:
 $y=-\left(x-4\right)^2-3$  
does this function have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the parabola below?
 $y=3\left(x+5\right)^2-4$  

•  $\left(5,-4\right)$  

•  $\left(-5,-4\right)$  

•  $\left(-5,4\right)$  

•  $\left(5,4\right)$  
  

What is the vertex of the function below?

 $y=\left(x+7\right)^2+3$  

•  $\left(7,3\right)$ 

•  $\left(7,-3\right)$  

•  $\left(-7,3\right)$  

•  $\left(-7,-3\right)$