A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is ( 3, -3 ). What is the vertex of the function defined as g(x) = -f (x – 3)

The vertex of g(x) is (6,3).

Step-by-step explanation:

Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is the leading coefficient.

We know a quadratic function y=f(x) is represented by a parabola whose vertex is at (3,-3). Substituting in the equation:

The function g(x) is defined as:

Substituting f(x):

Operating:

This function is represented by a parabola with its vertex at (6,3).

The vertex of g(x) is (6,3).

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies