Vertex Form & Transformations Fall 2024

Front

What is the vertex form of a quadratic function?

Back

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards. A larger absolute value of 'a' makes the parabola narrower.

Front

How do you find the vertex from the vertex form?

Back

Front

What is the axis of symmetry in a parabola?

Back

Front

How do you transform the graph of a quadratic function vertically?

Back

Front

What does moving a parabola 3 units to the left look like in vertex form?

Back

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the x-intercepts of a parabola?

Back

To find the x-intercepts, set the function equal to zero and solve for x. This can be done using the quadratic formula or factoring.

Front

What is the standard form of a quadratic function?

Back

Front

How do transformations affect the graph of a quadratic function?

Back

Transformations such as translations, reflections, and stretches/compressions change the position and shape of the graph.