Precalculus Review Units 4-6

Front

What is the center of the circle given by the equation (x - 3)² + (y - 2)² = 16?

Back

(3, 2)

Front

What type of conic is represented by the equation y = x²?

Back

Parabola

Front

Back

(1, 2)

Front

Identify the type of sequence: -21, -16, -11, -6, ...

Back

Arithmetic (common difference d = 5)

Front

What is the center of the circle represented by the equation (x + 4)² + (y - 1)² = 25?

Back

(-4, 1)

Front

What is the standard form of a parabola that opens upwards?

Back

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

Front

What is the general form of a circle's equation?

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

What is the common ratio in a geometric sequence?

Back

The ratio of any term to its preceding term.

Front

Classify the conic represented by the equation x² - y² = 1.

Back

Hyperbola

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

S_n = rac{n}{2}(a_1 + a_n) or S_n = rac{n}{2}(2a_1 + (n-1)d)