Unit 10 – Quadratic Functions. Topic: Characteristics of Quadratic Functions. What is a quadratic function?. Standard form: Parent quadratic function: Graph: parabola. What is the vertex of a quadratic function?. Highest or lowest point Vertex: (-1, -6) y -value is called minimum
Topic: Characteristics of Quadratic Functions
Plug in values for a (2) & b (–8) & simplify. WATCH YOUR SIGNS!
Axis of symmetry for this function is the vertical line x = 2. SIGN NOTE: Notice the two negatives cancel. Remember the formula includes a negative.
We’ve already found the x-coordinate (2). Replace x in the function with 2 & solve for y.
Vertex for this function is the point (2, –11).
Divide 1st equation by -2. Divide 2nd equation by 3. Add equations to eliminate b.
Plug the value of a into one of the equations & solve for b.
Write the function in standard form with the values of a, b & c.
Check your equation on your graphing calculator.
Complete the handout you received in class. Be prepared to present solutions on the board.
DUE 4/16 (A-day) or 4/17 (B-day)