Quadratic Transformations

Front

What is the parent function of a quadratic equation?

Back

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

Front

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

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What does a negative coefficient in front of a quadratic function indicate?

Back

A negative coefficient indicates a vertical reflection over the x-axis.

Front

What is the effect of a vertical stretch on a quadratic function?

Back

A vertical stretch makes the graph narrower, increasing the steepness of the parabola.

Front

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

Back

In vertex form, y = a(x-h)² + k, the vertex is (h, k).

Front

What does the 'a' value in the vertex form of a quadratic function represent?

Back

The 'a' value represents the vertical stretch or compression and the direction of the parabola.

Front

How do you determine the direction of opening for a quadratic function?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

The vertex is the highest or lowest point of the parabola, depending on its direction of opening.

Front

How can you identify the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form ax² + bx + c.

Front

What does it mean to vertically stretch a quadratic function by a factor of 4?

Back

It means that the y-values of the function are multiplied by 4, making the graph narrower.