Algebra 2A Module 02

Front

Where is the vertex of f(x)=2x²-4x+4?

Back

(1,2)

Front

What method do you use to start converting a quadratic from Standard form to Vertex form?

Back

Complete the square

Front

Use the discriminant to describe the roots of 2x²-4x+4.

Back

2 Complex number roots

Front

What is the complex conjugate of (4+3i)?

Back

4-3i

Front

What is the Equation of a parabola with Vertex (-4,-2) that opens downward and is stretched by a factor of 2?

Back

f(x)=-2(x+4)²-2

Front

Define the vertex of a parabola.

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic equation?

Back

The standard form is f(x) = ax² + bx + c.

Front

What does the discriminant tell you about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: 2 real roots, 1 real root, or 2 complex roots.

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the vertex form of a quadratic equation?

Back

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