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 find the vertex of a parabola given its equation in standard form?

Back

To find the vertex of a parabola in standard form y = ax² + bx + c, use the formula h = -b/(2a) and k = f(h).

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials.

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

How do you complete the square for a quadratic expression?

Back

To complete the square, rewrite the expression in the form (x-h)² = k by adding and subtracting (b/2)².

Front

What is the area of a rectangle?

Back

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

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it's 5 or more, round up.

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back

The sum of the roots is -b/a and the product of the roots is c/a, according to Vieta's formulas.

Front

What is a parabola?

Back

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