Quadratic Functions

Front

The roots or the solutions to the quadratic equation are also called the _________.

Back

x-intercepts

Front

The maximum or minimum value of the parabola is the ______ - value of the vertex.

Back

y

Front

A parabola will open _____ if x² is negative and it has a __________ point.

Back

down, maximum

Front

The parabola opens _____ if the x² is positive and has a __________ point.

Back

up, minimum

Front

What step transforms the graph y = x² to y = (x-4)²?

Back

shifted right 4 units

Front

What is the standard form of a quadratic function?

Back

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

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

By the sign of the coefficient 'a' in the standard form y = ax² + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

What is the effect of changing the value of 'a' in the quadratic function y = ax²?

Back

It affects the width and direction of the parabola; larger |a| makes it narrower, while smaller |a| makes it wider.