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.

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)

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 = ________

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.

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

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

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.

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

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)

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

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

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

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