15.1 Characteristics from Vertex Form

Warm-Up 1. f(x) = (x – 2)2 + 3 2. f(x) = 2(x + 1)2 – 4 Give the coordinate of the vertex of each function. 1. f(x) = (x – 2)2 + 3 2. f(x) = 2(x + 1)2 – 4 Give the domain and range of the following function. 3. {(–2, 4), (0, 6), (2, 8), (4, 10)} D:{–2, 0, 2, 4}; R:{4, 6, 8, 10}

Direction Opens Up Opens Down

Domain/Range Domain Range The domain of a quadratic function is all real numbers.  

X-intercepts Find by: Examples Table Substitute 0 for y and do square root method

y-intercept Find by: Examples Table Substitute 0 for x and do the math

Max/Min Max Min     The minimum (or maximum) value is the y-value at the vertex. It is not the ordered pair that represents the vertex.

Intervals of Increase/Decrease Examples Use the x- value of vertex Quadratic Functions will always have one of each

End Behavior Notation Examples

Graph and list everything!  

Graph and list everything!