100 likes | 197 Views
Q uadratic F unction. Parabola. Next. Prev. Prev. Next. Quadratic function. What is a quadratic function? It is a polynomial expression of degree 2. Why do we need to study quadratic functions? Painting business Roof business Landscape business Astronomy Car repair business.
E N D
Quadratic Function Parabola Next
Prev Next
Quadratic function • What is a quadratic function? • It is a polynomial expression of degree 2. • Why do we need to study quadratic functions? • Painting business • Roof business • Landscape business • Astronomy • Car repair business Next Prev
More examples of quadratic functions in the real world Next Prev
Quadratic functions Standard form: x2 y x2 c or a + = f(x) + c a = a c Where: = coefficient = constant Next Prev
Quadratic functions Graphing a quadratic function: Option 1 : Make a table of values (T-table) Place the ordered pairs on the coordinate plane Join the points with a smooth curve The graph is also called a Parabola Option 2 : Transform the equation into y=ax2 + c Use the calculator Next Prev
Quadratic functions Example: Graph: y = x2 Y 4 4 y=(-2)2 => y= 4 4 -2 1 1 -1 y=(-1)2 => y= 1 1 -X X 0 0 y=(0)2 => y= 0 0 1 y=(1)2 => y= 1 1 2 y=(2)2 => y= 4 4 -Y Next Prev
Quadratic functions Y U-shape ==========> (+) ==========>Parabola (up) -X X -Y Next Prev
Quadratic functions Now is your turn!!! Get your books on page 452 problems 2-8 Prev