Math 3 Fall Semester Final

Front

Which of the following equations matches the standard form of a quadratic?

Back

y = ax² + bx + c

Front

Find f(-3) in the function f(x) = x³ - 3x² + 5x - 18

Back

f(-3) = -87

Front

Simplify √24

Back

2√6

Front

Rewrite f(x) = x² - 10x + 14 in vertex form.

Back

y = (x - 5)² - 11

Front

Factor: x² - 10x + 25

Back

(x - 5)²

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the vertex form of a quadratic function look like?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula h = -b/(2a) and k = f(h).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic has two distinct real roots.