Math 2 Final Exam Review

Front

What is the rule for translating a point 3 units up and 2 units right?

Back

(x, y) --> (x + 2, y + 3)

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form f(x) = ax^2 + bx + c is given by the formula x = -b/(2a).

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of f(x) when x = 0.

Front

How do you add like terms in algebra?

Back

Combine the coefficients of the like terms while keeping the variable part the same.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic equation?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you determine if a quadratic opens upwards or downwards?

Back

If the coefficient 'a' in f(x) = ax^2 + bx + c is positive, it opens upwards; if negative, it opens downwards.

Front

What is the formula for finding the vertex of a parabola given in standard form?

Back

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

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

How do you find the y-intercept of the function f(x) = 2x^2 - 2x + 1?

Back

Set x = 0: f(0) = 2(0)^2 - 2(0) + 1 = 1.