INTRO TO QUADRATICS WARM UP Please pick up

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)=2 X 2 -4 X-3 USING THE TABLE. THEN FILL IN THE IMPORTANT INFO. The axis of symmetry will always match the xvalue of the vertex. X -1 0 1 2 Y Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept: 3

EXAMPLE 2: GRAPH THE FOLLOWING USING THE PROVIDED TABLES AND FILL IN THE IMPORTANT INFO. F(X)=X 2 - 6 X+9 X -1 0 1 2 Y Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept: 3

EXAMPLE 3: GRAPH THE FOLLOWING USING THE PROVIDED TABLES AND FILL IN THE IMPORTANT INFO. F(X)=-X 2+4 X-3 X -1 0 1 2 Y Axis of Symmetry: Vertex: Max or Min? x-intercepts: y-intercept: 3

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.