Quadratic Graphs in Vertex Form

The coefficient " $k$ " in vertex form controls what?

 $y=a\left(x-h\right)^2+k$  

• Width and Opening Up or Down

• Width Only

• Vertical Shift

• Horizontal Shift

Describe the transformation:
 $y=\left(x-2\right)^2+5$  

• left 2, up 5

• right 2, up 5

• left 2, down 5

• right 2, down 5

Use the picture to find the vertex and axis of symmetry

• Vertex: $\left(3,\ 8\right)$ ; Axis of Symmtery: $x=3$
  

• Vertex: $\left(3,\ 8\right)$ ; Axis of Symmtery: $3$

• Vertex: $\left(8,\ 3\right)$ ; Axis of Symmtery: $x=3$

• Vertex: $\left(8,\ 3\right)$ ; Axis of Symmtery: $y=3$

What are the coordinates of the vertex, and is it a maximum or minimum?

•  $\left(-1,\ 4\right)\$ ; Maximum

•  $\left(-1,\ 4\right)\$ ; Minimum

•  $\left(4,\ -1\right)$ ; Maximum

•  $\left(4,\ -1\right)$ ; Minimum

What is the significance of the ordered pair  $\left(2,\ -4\right)$ to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

What is the significance of the ordered pair  $\left(0,\ -2\right)$ to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

What is the domain of the function?

• $x\ge3$

• $x\le3$

• All real numbers

• $-1\le x\le5$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

Which of the following equations is the vertex form of a quadratic function?

•  $ax+by=c$  

•  $y=a\left(x-h\right)^2+k$ 

•  $y=ax^2+bx+c$ 

•  $y=mx+b$  

If given the equation  $y=3\left(x+5\right)^2-4$ , what is the vertex of the parabola?

•  $\left(5,\ -4\right)$ 

•  $\left(-5,\ -4\right)$ 

•  $\left(-15,\ 4\right)$ 

•  $\left(15,\ -4\right)$