Write a quadratic function in vertex form that represents the given transformation and parent function f(x)=x^2. Vertical compression of 1/3 reflection across the X axis translation left eight units

Step-by-step explanation:

The given parent function is

We want to write a quadratic function in vertex form that is a result of transforming f(x) by a vertical compression of ⅓, reflection across the x-axis , and a translation 8 units left.

Let g(x) be the transformed function, then we have;

The negative indicate a reflection in the x-axis, +8 indicates a shift to the left, and ⅓ is the vertical compression factor.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi