HW 11- Ch 2.1 Homework (PC)

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k

Front

What does the vertex of a parabola represent?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = h in vertex form.

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the coefficient 'a' in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the maximum value of a parabola that opens downwards?

Back

The maximum value is the y-coordinate of the vertex.

Front

What is the minimum value of a parabola that opens upwards?

Back

The minimum value is the y-coordinate of the vertex.

Front

Given the equation y = -2(x + 1)² + 4, what is the vertex?

Back

The vertex is (-1, 4).

Front

How do you find the axis of symmetry from the vertex form of a parabola?

Back

The axis of symmetry is x = h, where (h, k) is the vertex.

Front

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

Back

The 'a' value determines the width and direction of the parabola; larger absolute values make it narrower, while smaller absolute values make it wider.

Front

If a parabola has a vertex at (3, -2), what is the axis of symmetry?

Back

The axis of symmetry is x = 3.