EOC Review Day 1

Front

What is the vertex of a quadratic function in the form y = ax^2 + bx + c?

Back

The vertex is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.

Front

How do you factor a quadratic expression of the form x^2 + bx + c?

Back

To factor, find two numbers that multiply to c and add to b. Rewrite the expression as (x + m)(x + n) where m and n are the two numbers.

Front

What is the factored form of x^2 - 5x - 6?

Back

(x - 6)(x + 1) is the factored form.

Front

What is the factored form of x^2 - 5x - 36?

Back

(x - 9)(x + 4) is the factored form.

Front

What is the factored form of x^2 - 6x + 8?

Back

(x - 4)(x - 2) is the factored form.

Front

What does the expression 4^5 represent?

Back

4^5 means 4 multiplied by itself 5 times, which is 4 * 4 * 4 * 4 * 4.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

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

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.

Front

How can you determine the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a). It is a vertical line that divides the parabola into two mirror images.

Front

What is the quadratic formula used for?

Back

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