Key Features of Quadratics

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What are the X-intercepts of a quadratic function?

Back

The points where the graph intersects the X-axis, found by setting y = 0.

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have two solutions, one solution, or no solutions.

Front

What is the vertex of a quadratic function?

Back

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

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The coefficient 'a' determines the direction and width of the parabola.

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 maximum or minimum value of a quadratic function?

Back

The value of the function at the vertex; maximum if 'a' is negative, minimum if 'a' is positive.

Front

How do you find the Y-intercept of a quadratic function?

Back

Set x = 0 in the equation y = ax² + bx + c.

Front

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

Back

The discriminant (b² - 4ac) determines the number of real solutions.

Front

What is the general shape of a quadratic graph?

Back

A parabola, which opens upwards if 'a' is positive and downwards if 'a' is negative.