Graphing Quadratic Functions

Front

What are the x-intercepts of the function y = -2(x - 5)(x + 1)?

Back

(5, 0) and (-1, 0)

Front

What is the axis of symmetry for the function f(x) = 3(x + 8)² - 1?

Back

x = -8

Front

What is the axis of symmetry for the function y = 3x² + 30x - 11?

Back

x = -5

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c

Front

What is the formula for the Axis of Symmetry in Standard Form?

Back

x = -b/2a

Front

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

Back

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

Front

What does the 'a' in the quadratic function f(x) = ax² + bx + c represent?

Back

The 'a' value determines the direction and width of the parabola.

Front

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

Back

The discriminant (b² - 4ac) determines the number of real roots.

Front

What is the vertex of the function f(x) = 2(x - 3)² + 4?

Back

The vertex is (3, 4).

Front

How do you convert from standard form to vertex form?

Back

Use completing the square method.