Standard and Vertex forms Quadratic Functions

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What is the domain of a quadratic function?

Back

All real numbers

Front

Is the function y = 4x² - 3x + 8 in standard form?

Back

True

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

What is the axis of symmetry for a parabola with vertex (h, k)?

Back

x = h

Front

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

Back

Use the formula h = -b/(2a) and k = f(h).

Front

What does the 'a' value in the standard form indicate about the parabola?

Back

It indicates the direction of opening and the width of the parabola.

Front

If a > 0, how does the parabola open?

Back

It opens upwards.

Front

If a < 0, how does the parabola open?

Back

It opens downwards.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k