Math 3 EOC Review

Front

Describe the transformation of the function y = 2^x to y = 2^(x - 5) + 3.

Back

The function is translated right 5 units and up 3 units.

Front

What is the formula to calculate the area of a sector of a circle?

Back

Area = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

What is the area covered by a sprinkler spraying water in a radius of 10 yards at a rotation of 80 degrees?

Back

Approximately 69.8 square yards.

Front

Which expression is equivalent to 4t² – 16?

Back

4(t + 2)(t - 2) is the equivalent expression.

Front

What is the radius of a circle given by the equation x² + y² - 8x + 10y - 8 = 0?

Back

The radius is 7.

Front

What is the value of x that satisfies the equation x = 32?

Back

The value of x is 32.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does it mean for a function to be transformed vertically?

Back

A vertical transformation shifts the graph up or down without changing its shape.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.