Quadratics Characteristics

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis, also known as zeros.

Front

What is another name for the x-intercepts of a quadratic?

Back

Zeros.

Front

What is the significance of the vertex in a quadratic graph?

Back

It is the highest or lowest point of the parabola.

Front

How many zeros can a quadratic function have?

Back

A quadratic function can have 0, 1, or 2 zeros.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph intersects the y-axis, found by evaluating f(0).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the quadratic equation to zero and solve for x.