Attributes of Quadratics

Front

Define Y-intercept

Back

Where the parabola touches or intersects the y-axis.

Front

What is the X-intercept?

Back

Where the parabola touches or intersects the x-axis.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What is the axis of symmetry?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

What does a positive leading coefficient indicate about a parabola?

Back

The parabola opens upwards.

Front

What does a negative leading coefficient indicate about a parabola?

Back

The parabola opens downwards.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the number and type of roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What are the roots of a quadratic function?

Back

The values of x where the function equals zero, also known as x-intercepts.