Bellwork: 2/8/18 Graph. Identify the vertex, axis of symmetry, domain, and range. 1. y = -3x2 + 1 2. y =(x-1)2 *Have your bellwork for the week out, on one piece of paper, I will be checking them
Graphing Quadratic Functions We will... Graph a quadratic function in the form y = ax2 + bx + c.
Graph y = x2 +4x -5. y = -2x2 -2x + 4
Graph y + 6x = x2 + 9
The height in feet of a basketball that is thrown can be modeled by f(x) = –16x2 + 32x, where x is the time in seconds after it is thrown. Find the basketball’s maximum height and the time it takes the basketball to reach this height. Then find how long the basketball is in the air.
Bellwork: 2/9/18 1) Identify the vertex 2) Identify the zeros 3) Identify the y-intercept 4) Identify the axis of symmetry
Graphing Quadratic Functions We will... Graph and transform quadratic functions.
Graph each function by completing the table and find the vertex and axis of symmetry. Look at the first three functions you graphed. Explain how the graph of y = x2 changes (or shifts) when a constant term is added or subtracted. How does this affect the vertex and axis of symmetry?
Look at the last three functions you graphed. Explain how the graph of y = x2 changes (or stretches) when the first term is multiplied by a coefficient. How does this affect the vertex and axis of symmetry?
Order the functions from narrowest graph to widest. f(x) = 3x2, g(x) = 0.5x2, h(x)= -5x2 f(x) = –4x2, g(x) = 6x2, h(x) = 0.2x2
Compare the graph of the function with the graph of f(x) = x2. g(x) = 3x2 g(x) = –x2 – 4 g(x) = 3x2 + 9