Quadratics Review - Graphing & Solving 2024

Front

What is the domain of all quadratic functions?

Back

All real numbers.

Front

What is the axis of symmetry for the parabola y = -2x² - 4x + 1?

Back

x = -1.

Front

In the equation ax² + bx + c = 0, which term corresponds with 'a'?

Back

The x² term.

Front

What is the vertex of the graph of the quadratic function?

Back

(3, -1).

Front

Solve using the quadratic formula: 2x² - 9x - 35 = 0.

Back

x = -5/2, x = 7.

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

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

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.