Transformations of Quadratics

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x².

Front

What transformation occurs when a quadratic function is reflected across the x-axis?

Back

The graph of the quadratic function opens downward instead of upward.

Front

How does the value of 'k' in the vertex form y = a(x-h)² + k affect the graph?

Back

The value of 'k' translates the graph vertically, moving it up or down.

Front

What does the 'h' represent in the vertex form of a quadratic equation?

Back

The 'h' represents the x-coordinate of the vertex and translates the graph horizontally.

Front

What is the effect of a positive 'a' value in the vertex form of a quadratic equation?

Back

A positive 'a' value means the parabola opens upwards.

Front

What is the effect of a negative 'a' value in the vertex form of a quadratic equation?

Back

A negative 'a' value means the parabola opens downwards.

Front

If a quadratic function is written as y = (x - 5)² - 3, what are the coordinates of the vertex?

Back

The vertex is at the point (5, -3).

Front

What does it mean to shift a quadratic function to the right by 'h' units?

Back

It means to replace 'x' with '(x - h)' in the function.

Front

What is the transformation represented by the equation y = -x² + 3?

Back

The graph reflects across the x-axis and shifts up 3 units.

Front

How do you determine the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate, then substituting back to find the y-coordinate.