Chapter 3 Test: Quadratics

Front

What is the vertex form of a quadratic function?

Back

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

Front

In the vertex form f(x) = a(x - h)² + k, what does 'h' represent?

Back

The x-coordinate of the vertex.

Front

What is the vertex of the function f(x) = (x - 1)² + 3?

Back

(1, 3)

Front

How do you describe the transformation of the function f(x) = x² to f(x) = (x + 2)² - 3?

Back

Shift down 3 units and left 2 units.

Front

What is the vertex of the quadratic function y = x² - 10x + 12?

Back

(5, -13)

Front

What is a perfect square trinomial?

Back

An expression that can be written as (x - a)² or (x + a)².

Front

Identify the equivalent expression for the perfect square trinomial x² - 18x + 81.

Back

(x - 9)².

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

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

Back

The direction and width of the parabola.

Front

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

Back

Use the formula h = -b/(2a) and k = f(h).