Quadratic Functions Review

Front

What is the vertex of the quadratic function y = (x-9)² + 5?

Back

(9, 5)

Front

Factor the expression k² - 2k - 24.

Back

(k + 4)(k - 6)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What are the two solutions to the equation y = 2x² - x - 3?

Back

-1 and 3/2

Front

Solve using the quadratic formula: x² + 4x - 40 = -8.

Back

-8 and 4

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What does the 'a' in the quadratic function y = ax² + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

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

Back

x = -b/(2a)

Front

What is the discriminant in the quadratic formula?

Back

b² - 4ac, determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

There are two distinct real roots.