The coordinate plane shows the location of the houses of some of Kendra's friends. Which friend lives at (–0.5, –0.25)? Alternative text A. Cindy B. Miguel C. Amita D. Jamaal

C. Amita.

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The point of intersection of the vertical line and the horizontal line is known as the origin. The origin is known as the zero point and is used as a point of reference for locating other points on the coordinate.

Any point on the coordinate plane has a x coordinate and a y coordinate. A point is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given the point (-0.5, -0.25), -0.5 is the x coordinate and -0.25 is the y coordinate, The point (-0.5, -0.25) corresponds to the location of Amita.

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: