Intro to Quadratics + Vocabulary

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the shape of the graph of a quadratic equation called?

Back

Parabola

Front

What do we call the highest or lowest point of a parabola?

Back

Vertex

Front

What are the x-intercepts of a quadratic equation also known as?

Back

Solutions

Front

What is the axis of symmetry in a quadratic graph?

Back

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

Front

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

Back

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

Front

What is the range of a quadratic function with a maximum value?

Back

The set of all possible output values (y-values) of the function.

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

How can 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 significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots (real and distinct, real and equal, or complex).