I can rewrite quadratic equations from standard to vertex and vice. Graph the quadratic function and write the characteristics.
Y x 2 10x 40 9.
Characteristics of quadratic functions worksheet pdf. Writing equations of quadratic functions 8. Find the axis of symmetry of each parabola. F x 2 x 3 2 4.
Y x 2 8x 12 8. Quadratic functions vocabulary quadratic function is a polynomial function with the highest degree of 2 for the variable x. Y 3x 2 6x 4 8.
Y intercept is the y value where the parabola intersects the y axis. Characteristics of quadratic functions find the zeros of each quadratic function from its graph. X intercepts are the x values where the parabola intersects the x axis.
While they share many characteristics of polynomials in general the calculations involved in working with quadratics is typically a little simpler which makes. Quadratic parent function characteristics find the aos vertex roots zeros x intercepts solutions go between forms standard to vertex and vice versa graphing quadratics standard form vertex form using a table retest cba 6 transformations parent function domain and range. Parabola is the graph of a quadratic function.
The interval of increase is f 2. I can graph quadratic functions in vertex form using basic transformations. B 4 6 and 8 6 c zeros of 5 and 1 3.
Y x 2 4x 9. Determine the equation of the axis of symmetry the coordinates of the vertex the x and y intercepts 2. Find the axis of symmetry and the vertex of each quadratic function by completing the following.
3 2 quadratic functions 165 section 3 2 quadratic functions in this section we will explore the family of 2 nd degree polynomials the quadratic functions. Determine the axis of symmetry for the quadratic relations with the following characteristics. A a vertex of 2 6.
Sketch the graph of the relation y x2 6x. Characteristics of quadratic functions practice worksheet a. Y 4×2 1 2 x 3.
I can identify key characteristics of quadratic functions including axis of symmetry vertex min max y intercept x intercepts domain and range. Characteristics of quadratic functions find the zeros of each quadratic function from its graph. Match the quadratic function fx to its characteristics.
It can be written in the form y ax2 bx c. Find the axis of symmetry of each parabola. The graph of a quadratic function quadratic function a function described by an equation of the form f x ax2 bx c where a 0 a second degree polynomial function a relation in which exactly one x value is paired with exactly one y value.
For each quadratic function find the axis of symmetry of its graph.