Introduction to Quadratics Lesson 1

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

What does the coefficient 'a' in a quadratic function determine?

Back

The coefficient 'a' determines the direction in which the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

How do you find the vertex of a parabola?

Back

The vertex of a parabola can be found using the axis of symmetry. The x-coordinate is x = -b/(2a), and the y-coordinate can be found by substituting this x value back into the quadratic function.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What is a parabola?

Back

A parabola is the curve formed by the graph of a quadratic function.

Front

What is the formula for the axis of symmetry?

Back

The formula for the axis of symmetry is x = -b/(2a).

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means that the vertex is the minimum point of the graph, and the y-values increase as you move away from the vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means that the vertex is the maximum point of the graph, and the y-values decrease as you move away from the vertex.