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).

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

The solutions are x = 6 and x = 4.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.