Exam Review #2

Front

What is the equation of a circle given its diameter endpoints (3, 1) and (9, 5)?

Back

(x − 6)² + (y − 3)² = 13

Front

How do you determine the equation of a cubic function from its graph?

Back

Identify the x-intercepts and the behavior of the graph at those points.

Front

Write the equation of the line through the points (-6, -19) and (2, 5).

Back

y = 3x - 1

Front

What is the range of a function if its graph has a minimum value of -15?

Back

[-15, ∞)

Front

Write the equation of a circle with center (7, 0) and radius 3.

Back

(x - 7)² + y² = 9

Front

What is the standard 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

How do you find the center of a circle given its diameter endpoints?

Back

The center is the midpoint of the endpoints.

Front

What is the formula for the midpoint of a line segment between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the general form of a cubic function?

Back

g(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants.

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1)