Transformations & Quadratics in Vertex Form Practice

Front

What is the parent function of a quadratic equation?

Back

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

Front

What effect does a negative coefficient have on the graph of a quadratic function?

Back

A negative coefficient reflects the graph across the x-axis.

Front

How does a vertical stretch affect the graph of a quadratic function?

Back

A vertical stretch makes the graph narrower.

Front

What does a horizontal shift to the right by 'h' units look like in the vertex form of a quadratic?

Back

The vertex form becomes y = a(x - h)² + k.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you identify the vertex from the vertex form of a quadratic equation?

Back

The vertex is identified as the point (h, k) in the equation y = a(x - h)² + k.

Front

What does a vertical compression do to the graph of a quadratic function?

Back

A vertical compression makes the graph wider.

Front

How do you write the equation of a quadratic function that reflects across the x-axis and shifts up by 'k' units?

Back

The equation is y = -a(x - h)² + k.

Front

What is the effect of changing the coefficient 'a' in the vertex form of a quadratic function?

Back

Changing 'a' affects the width and direction of the parabola; larger |a| values make it narrower, while smaller |a| values make it wider.

Front

How do you determine the direction in which a parabola opens?

Back

A parabola opens upward if 'a' is positive and downward if 'a' is negative.