Alg 2 - 1st Semester Review 2024 Pt 2

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, represented as (h, k) in the vertex form f(x) = a(x - h)² + k.

Front

Back

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.

Front

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

Back

The 'k' value shifts the function up or down on the graph.

Front

Back

Front

What is the standard form of a quadratic function?

Back

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

Front

What does the 'a' value in the vertex form f(x) = a(x - h)² + k represent?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the vertical stretch or compression.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form f(x) = ax² + bx + c.

Front

What is the quadratic formula?

Back

Front

What does the discriminant tell you about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, two complex roots.