Part A: If a circle has a diameter of 18 inches, what is the radius? Identify which multiple choice option is the correct
a. 38 inches
b. 27 inches
c. 9 inches
d. 4.5 inches
Part B: Name two real-life examples of a circle.
Part C: State the process of drawing a circle with a radius of 6 inches using a compass on a piece of paper? Write a detailed explanation.

c. 9 inches

Plates and clocks are examples of circles.

Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: