Integrated 3 Fall Final

Front

Determine the equation of a parabola with a vertex at (-1, 4) and opening downwards.

Back

y = -(x + 1)² + 4

Front

Simplify: (3x² + 2x - 5) + (x² - 4x + 7)

Back

4x² - 2x + 2

Front

Solve: 3x - 4 = 2(4x + 1)

Back

x = -2

Front

What is the perimeter of this parallelogram?

Back

10x + 8

Front

What are the roots of the quadratic equation 3x² - 7x + 2 = 0?

Back

x = 1/3, x = 2

Front

Definition of a parabola.

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

Vertex form of a parabola equation.

Back

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

Front

What does it mean for a parabola to open downwards?

Back

The coefficient 'a' in the vertex form is negative.

Front

How to combine like terms in algebra?

Back

Add or subtract coefficients of the same variable.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.