1. Warm Up
Determine whether the function is increasing, decreasing, or constant. Explain your answer.
Graph the function x y -2 -4 -1 2 1 5 8
Determine if the table of values represents a linear function. Explain why or why not. If it is linear, determine the equation of the function.

2. Analyze and graph quadratic functions: standard form (S3.3)
Unit 2: Analyze Linear and Quadratic Functions
Target 2.2, Day 1
Analyze and graph quadratic functions: standard form (S3.3)

3. A function with an x2 term is called _______________
A function with an x2 term is called _______________. This is in standard form.
The graph of a quadratic function forms a U-shaped curve called a __________________.
Here is the quadratic parent function.
Domain: ______________
Range: ________________
Decreasing: ____________
Increasing: _____________
Vertex at ________
Axis of symmetry
x = ________

4. Characteristics of
Where have we seen these before...?
Opens ______ if a > 0; opens ______ if a < 0
Vert. stretch if |a| > ____ ; vert. compression if |a| < ____
c is the y-intercept (o, c)
Axis of Symmetry at
To find the x-coordinate of the vertex, use the above formula. Then plug that number into the equation to find the y-coordinate.

5. Analyze and graph
Axis of Symm: _________
Vertex: _______________
y-intercept: ___________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________

6. Analyze the function.
Axis of Symm: _________
Vertex: _______________
y-intercept: ___________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________
Axis of Symm: _________
Vertex: _______________
y-intercept: ___________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________

7. The y-coordinate of the vertex represents a minimum or maximum value of a parabola (depending on whether the parabola opens upwards or downwards). The x-coordinate represents where or when the min/max occurs.
Determine whether the function has a minimum or maximum value. Then find it.

8. Warm Up
Analyze and graph the function.
Axis of Symm: _________
Vertex: _______________
y-intercept: ___________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________

9. Analyze and graph quadratic functions: Vertex form (S3.3)
Unit 2: Analyze Linear and Quadratic Functions
Target 2.2, Day 1
Analyze and graph quadratic functions: Vertex form (S3.3)

10. Vertex: (h, k)
Axis of Symmetry: x = h
Vertex Form
Analyze and graph the function.
Axis of Symm: _________
Vertex: _______________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________

11. Analyze and graph the function.
Axis of Symm: _________
Vertex: _______________
Domain: ______________
Range: _______________
Decreasing: ____________
Increasing: ____________

12. Determine whether the function has a minimum or maximum value
Determine whether the function has a minimum or maximum value. Then find it.

13. Given the vertex (1, -2) and a point on the parabola (3, 2), determine the equation of the function in vertex form.