Math 3 wk 1

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function 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 function from standard form to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form, complete the square.

Front

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

Back

The vertex represents the highest or lowest point of the parabola, depending on the direction it opens.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c.

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the quadratic function equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (A = length × width).

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to 'ac' and add to 'b' in the expression ax² + bx + c.

Front

What is the complete factorization of 2x² + x - 15?

Back

The complete factorization is (x + 3)(2x - 5).