Quadratic Functions: Key Features (Graphs)

Front

What is the vertex of a quadratic function?

Back

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

Front

What shape do quadratic equations take when graphed?

Back

Parabola.

Front

Define X-intercept in the context of quadratic functions.

Back

Where the parabola touches or intersects the x-axis.

Front

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

Back

It represents the maximum or minimum value of the function.

Front

What are the two types of parabolas?

Back

Opening upwards and opening downwards.

Front

How can you find the vertex of a quadratic function given 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 does the 'a' value in the quadratic equation ax^2 + bx + c indicate?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and the 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 formula for the quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What are the roots of a quadratic function?

Back

The values of x where the graph intersects the x-axis, also known as x-intercepts.