FINAL REVIEW 2024

Front

What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?

Back

Subtract 21 from both sides.

Front

What is the Axis of symmetry for the function represented by the equation y = ax² + bx + c?

Back

The Axis of symmetry is x = -b/(2a).

Front

What are the Zeros of a function?

Back

Zeros are the x-values where the function equals zero, represented as coordinates (x, 0).

Front

How do you determine the direction in which a parabola opens based on its equation?

Back

If the coefficient of x² is positive, it opens up; if negative, it opens down.

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a situation where there are 120 gallons of water in a tank, releasing water at a rate of 25 gallons per minute.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is completing the square in quadratic equations?

Back

Completing the square is a method used to solve quadratic equations by rewriting them in the form (x - p)² = q.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real solutions: positive means two solutions, zero means one solution, and negative means no real solutions.

Front

What is the vertex form of a quadratic equation?

Back

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