Homework Review: Sect 9.1 # 28 – 33 Y – int Axis of Sym Vertex Opens Min/Max Domain Range 28 (0,3) x = – 3 (– 3,– 6) Up Min All Reals y ≥ – 6 29 (0,1) x = 0 Down Max y ≤ 1 30 (0,4) x = – 1 (– 1, 5) y ≤ 5 31 x = 1 (1,1) y ≥ 1 32 (0,-4) (0, – 4) y ≥ – 4 33 (0,0) y ≤ 0

SECTION 9.1 Graphing Quadratic Functions (Day 1) graph quadratic functions. find and interpret the max & min of a quad. SWBAT:

Definitions: Quadratic Function: An equation with a degree of 2. Standard Form: y = ax2 + bx + c Parabola: A quadratic graph that has a U shape Vertex: The lowest or highest point of the graph Axis of Symmetry: The line passing through the vertex that divides thee parabola in half

Minimum & Maximum Domain: all real numbers or |R Range: minimum: y > vertex y maximum: y < vertex y

Steps to Graphing a Quadratic 1) Equation of the Axis of Symmetry: (x = –b / 2a) 2) Vertex: Use your x value from the axis of symmetry to substitute into the equation to find the y – value. Write the coordinates of the vertex (x , y) 3) y – intercept (substitute x = 0 and solve for y) (0,y) Table of Value Create a table of 7 points with the middle point being the vertex. 5) Draw a smooth Curve using your points and the x and y intercepts 6) Determine if the Quadratic: Opens up, vertex is minimum Opens down, vertex is maximum 7) Determine: Domain: Always “All Real’s” Range: Look at y values

Ex 1: Graph f(x) = x2 – 4x +4 Standard Form: ___________ y-int:_____ x-int:____ Vertex: _____ a =___ b =___ c = ___ AOS: _____ Domain:_____ Range:_____ x Work y

Ex 2: Graph f(x) = -2x2 Standard Form: ___________ y-int:_____ x-int:____ Vertex: _____ a =___ b =___ c = ___ AOS: _____ Domain:_____ Range:_____ x Work y

HOMEWORK Graphing Worksheet