Unit 4 Quadratics Cumulative Review

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Identify the degree of the polynomial x² + 6.

Back

The degree of the polynomial x² + 6 is 2, making it a quadratic polynomial.

Front

What is a quadratic binomial?

Back

A quadratic binomial is a polynomial of degree 2 that has two terms, such as x² + 5.

Front

What does the 'b' represent in the quadratic equation ax² + bx + c = 0?

Back

In the quadratic equation, 'b' represents the coefficient of the linear term (x).

Front

How do you find the product of (5n-8)(5n+8)?

Back

The product is found using the difference of squares formula: (a-b)(a+b) = a² - b². Thus, (5n)² - (8)² = 25n² - 64.

Front

What is the farthest vertical shift in a quadratic function?

Back

The farthest vertical shift refers to the maximum or minimum value of the quadratic function, determined by the constant term in the equation.

Front

Classify the polynomial x² + 6 by its degree and number of terms.

Back

It is a quadratic binomial (degree 2, two terms).

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the significance of the 'a' value in a quadratic equation?

Back

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