Algebra 2 Notes (9-4) Graphs of Quadratic Functions

Words to Know parabola- quadratic function- vertex of a parabola-

Words to Know parabola- graph of a quadratic function quadratic function- a function whose equation is in the form of _____________ where ____ vertex of a parabola- the point where the graph crosses the line of symmetry

Graphs of Vertex of graphs will always be (0, 0) Line of symmetry will always be on the y- axis which means ____ Example 1 –Graph the equation –What is the line of symmetry? –What is the vertex?

Example 1 Solution The line of symmetry is ____ The vertex is ____ The graph of the function is: line of symmetry vertex (0, 0)

Vertex of graphs will always be, where h can be any real number Line of symmetry will be Example 2 –Graph the equation –What is the line of symmetry? –What is the vertex? –What is the shift of the graph from the equation ? (Shifting will be more in- depth in Chapter 9-5) Graphs of

Example 2 Solution The line of symmetry is ____ The vertex is ____ The graph of the function is: line of symmetry vertex (2, 0)

Example 2 Solution (cont.) The shift of the graph from the origin is _________________ two units to the right.

Distinguishing Between If the equation of the graph is, then the following statements are true. –The line of symmetry will be –The vertex will be –The graph will always move to the left. If the equation of the graph is, then the following statements are true. –The line of symmetry will be –The vertex will be –The graph will always move to the right.

Homework Pg.402 #1-25 –For the first 4 problems you don’t need to graph, just determine whether it is above or below the x-axis –For problems #19-24, test out a point and see where the inequality makes sense.