Master Quadratic Functions

Questions and Answers

The graph of a quadratic function is a curve called a parabola.

The general form of a quadratic function is $f(x) = ax^2 + bx + c$, where $a$, $b$, and $c$ are numbers with $a \neq 0$.

The axis of symmetry is a line that a parabola is symmetric with respect to.

<p>The vertex is the point where a parabola intersects its axis of symmetry.</p> Signup and view all the answers

<p>Two points are needed to determine a line.</p> Signup and view all the answers

Study Notes

A quadratic function is a polynomial function of degree two, having the form f(x) = ax2 + bx + c, where a, b, and c are constants and a ≠ 0.
The graph of a quadratic function is a curve called a parabola, which can open upward or downward and vary in width or steepness.
Parabolas have a "U" shape and are symmetric with respect to a line called the axis of symmetry.
The axis of symmetry intersects the parabola at a point called the vertex of the parabola.
Two points determine a line, and there is one and only one line that contains both points.
The x-coordinate of the vertex of a parabola can be found using the formula x = -b / 2a.

The graph of a quadratic function is a parabola that opens upward or downward and has a "U" shape.
The vertex of a parabola is the lowest or highest point on the graph.
The axis of symmetry is the vertical line that passes through the vertex of the parabola.
The graph of a quadratic function can be affected by the values of a, b, and c.