INTRO TO QUADRATICS. WARM – UP!! Please pick up your calculator as you walk in! 1.The Viking football team raised $3000 from concessions and tickets,

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Presentation transcript:

INTRO TO QUADRATICS

WARM – UP!! Please pick up your calculator as you walk in! 1.The Viking football team raised $3000 from concessions and tickets, so they deposit it to a bank account. The interest on the money is $20 a month. a)What is the initial amount of money? b)What rate is the account increasing? c)Graph a line that represents the bank account. (HINT: make a table and plot the points!)

QUADRATIC FUNCTION A quadratic function is a function that has a degree of 2 (two). Standard form of a quadratic is ax + by = c, where a ≠ 0. The graph of a quadratic function is U-shaped and is called a parabola. Axis of Symmetry: a line of symmetry for the graph Vertex: the highest or lowest point of the parabola. (the axis of symmetry goes through it) Maximum: the highest point of the parabola Minimum: the lowest point of the parabola

EXAMPLE 1: GRAPH F(X)=2X 2 -4X-3 USING THE TABLE. THEN FILL IN THE IMPORTANT INFO. Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept : X0123 Y The axis of symmetry will always match the x-value of the vertex.

EXAMPLE 2: GRAPH THE FOLLOWING USING THE PROVIDED TABLES AND FILL IN THE IMPORTANT INFO. F(X)=X 2 - 6X+9 Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept : X0123 Y

EXAMPLE 3: GRAPH THE FOLLOWING USING THE PROVIDED TABLES AND FILL IN THE IMPORTANT INFO. F(X)=-X 2 +4X-3 Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept : X0123 Y

YOU TRY!! 1.Fill in the missing pieces of information: a)Vertex? b)Minimum or Maximum? c)X – intercepts? d)Y – intercepts e)Axis of Symmetry The axis of symmetry will always match the x-value of the vertex.