Quadratic Functions - Review

Front

What is the vertex of the quadratic function f(x) = 2(x - 5)² + 12?

Back

(5, 12)

Front

What is another word for zeros in a quadratic function?

Back

roots

Front

What is the range of the function f(x) = 2(x - 5)² + 12?

Back

[12, +∞)

Front

What is the axis of symmetry for the quadratic equation y = 4x² - 8x + 9?

Back

x = 1

Front

What form is the equation y = 2x² - 8x + 7 in?

Back

Standard

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

The vertex is given by the point (h, k) in the function f(x) = a(x - h)² + k.

Front

What does the 'a' value in a quadratic function determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the formula to find the axis of symmetry for a quadratic function in standard form?

Back

x = -b/(2a), where ax² + bx + c is the standard form.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, also known as the roots.