Quadratic Transformations

Front

What happens to the direction of the parabola if 'a' is negative in the function?

Back

The parabola opens down.

Front

Which of the following does NOT contain a REFLECTION of y = x²? y = -2(x + 5)² + 3, y = (-3x + 5)² + 3, y = (1/2)(x + 5)² + 3, y = -x² + 3

Back

y = (1/2)(x + 5)² + 3

Front

Does the quadratic equation y = x² + 2x - 3 have a maximum or minimum value? How can you tell?

Back

Minimum value, because the 'a' value is positive.

Front

Does the function 1/2(x + 2)² - 3 open up or down?

Back

The function opens up.

Front

What are the transformations for y = (x - 2)² + 4?

Back

Shift 2 units right and shift 4 units up.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

The 'h' value indicates the horizontal shift of the parabola.

Front

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

Back

The 'k' value indicates the vertical shift of the parabola.

Front

How does the value of 'a' affect the width of the parabola?

Back

If |a| > 1, the parabola is narrower; if 0 < |a| < 1, the parabola is wider.

Front

What is the axis of symmetry for the quadratic function y = ax² + bx + c?

Back

The axis of symmetry is x = -b/(2a).