What is the vertex of this parabola? Name the coordinate.
What are the critical values of this absolute value function:
y=2|x+2|+2
2) Use the critical values of this equation to graph it.
Opens (upward or downward)
Vertex (h,k)
Axis of Symmetry ( x=__ )
Fill out the table and use the graph on the left to create a parabola from the quadratic function:
List one way that the graph of the absolute function is the same as the quadratic function?
What is one way that the graph of the absolute function is different from the quadratic function?
How does the a affect the function
compared to the original function
What happens to the function when a>1
What happens to the function when a<0 (negative)
How does the h affect the function
compared to the original function
What happens to the function when h is positive?
What happens to the function when h is negative?
How does the k affect the function
compared to the original function
What happens to the function when k is positive?
What happens to the function when k is negative?
Based on your explorations, the quadratic equation:
has a horizontal shift of spaces and a vertical shift of spaces and is pointed
Use the internet to answer these questions:
All quadratic functions are "U" shaped. What is another term that describes the shape of a quadratic function?
Use the internet to answer these questions:
What is the name of the middle point of a quadratic function?
Use the internet to answer these questions:
The lowest point of a parabola it is called the __________?
Use the internet to answer these questions:
The line that runs through the middle of the parabola is called the ______ ___ _______?
The axis of symmetry of a quadratic function sometimes does not pass through the vertex?
What is the vertex of this parabola? Name the coordinate.
What is the axis of symmetry of this quadratic function? It should be in the form of x=h.
What is the vertex of this parabola? Name the coordinate.
What is the axis of symmetry of this quadratic function? It should be in the form of x=h.
What is the vertex of this parabola? Name the coordinate.
What is the axis of symmetry of this quadratic function? It should be in the form of x=h.
What does the vertex of this quadratic function represent?
Fill out the table and use the graph on the left to create a parabola from the quadratic function:
How do negative values for a affect the function
compared to the original function
Fill out the table and use the graph on the left to create a parabola from the quadratic function:
How do inputting numbers between 0 and 1 for a affect the function
compared to the original function
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
