Quadratic Key Features

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph.

Front

Identify the x-intercept(s) of the function y = x^2 - 4x.

Back

(0, 0) and (4, 0)

Front

How many solutions can a quadratic equation have?

Back

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

Front

What does it mean if the vertex is a maximum?

Back

The vertex is the highest point on the graph of the parabola.

Front

What does it mean if the vertex is a minimum?

Back

The vertex is the lowest point on the graph of the parabola.

Front

What is the axis of symmetry in a parabola?

Back

A line that divides the graph into two equal parts.

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 equation?

Back

y = ax^2 + bx + c.

Front

What is the significance of the 'a' value in a quadratic equation?

Back

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

Front

What is the formula for finding the x-intercepts of a quadratic equation?

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.