Algebra 2 ACP Review BR Day 1

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

To convert from standard form (y = ax² + bx + c) to vertex form (y = a(x-h)² + k), complete the square.

Front

What is the vertex of the parabola represented by the equation y = -x² + 4x - 9?

Back

The vertex of the parabola is (2, -5).

Front

What does the 'a' value in the vertex form of a quadratic equation indicate about the parabola?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (larger |a| means narrower, smaller |a| means wider).

Front

How do you find the solutions of a quadratic equation by factoring?

Back

To find the solutions by factoring, express the quadratic in the form (x - p)(x - q) = 0, then set each factor to zero: x - p = 0 and x - q = 0.

Front

What are the solutions to the equation x² - 10x + 24 = 0?

Back

The solutions are x = 6 and x = 4.

Front

What is a system of linear inequalities?

Back

A system of linear inequalities consists of two or more inequalities that involve the same variables and can be graphed on the same coordinate plane.

Front

How do you graph a system of linear inequalities?

Back

To graph a system of linear inequalities, graph each inequality as if it were an equation, then shade the appropriate region that satisfies the inequality.

Front

What does the inequality y ≤ 2x - 1 represent graphically?

Back

It represents the region below or on the line y = 2x - 1, including the line itself.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.