Evaluate Quadratic Functions

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert a quadratic function from standard form to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form, complete the square.

Front

What is the vertex of the quadratic function y = 2(x+3)² + 4?

Back

The vertex is (-3, 4).

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

Back

x = ±1.

Front

What is the process to find the x-intercepts of a quadratic function?

Back

Set the quadratic function equal to zero and solve for x.

Front

Back

y = 4(x-4)² - 62.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola.

Front

Back

x = -1, 7.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by x = h in vertex form.