Can someone me i"ll give you brainiest!
complete the following statements.
the functions f and g have the ( same, different ) axis of symmetry.
the y-intercept of f is ( less than, equal to, greater than ) the y-intercept of g.
over the interval [-6, -3], the average rate of change of f is ( equal to, less than, greater than ) the average rate of change of g.

Hello!

Let's look at each one of the questions individually.

The functions f and g have the ( same, different ) axis of symmetry.

An axis of symmetry is the line that goes down the x value of the vertex. It cuts the equation in half, and is the line of symmetry, but for a quadratic.

Looking at function f, we can see where the vertex is by the lowest point, or (-3, -10). This is because the x values have the same interval, and for the numbers before and after (-3, -10), they increase by the same amount. (For example, x = -4 and x = -2 both have y values of -8, and then x = -5 and x = -1 have y values of -2, meaning they are symmetrical)

Function F's axis of symmetry therefore is x = -3, as the x value of the vertex is -3.

Function g's axis of symmetry, we can see from the graph, is x = -3 as well, as drawing an imaginary vertical line through x = -3 bisects the quadratic.

Therefore, the functions f and g have the same axis of symmetry.

The y-intercept of f is ( less than, equal to, greater than ) the y-intercept of g.

The y intercept of an equation is where the equation intersects the y axis. It always has an x value of 0, as x = 0 is the y axis.

Looking at function f, when x = 0, y = 8, meaning the y intercept of function f is y = 8.

Looking at function g, we can see the y value of when the quadratic intercepts the y axis on the graph. It is y = -2.

Therefore, the y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is ( equal to, less than, greater than ) the average rate of change of g.

The rate of change is the amount the y value increases for each x that passes.

For function f, we can see that between x = -6 and x = -3, the function decreases by 18. This means that the overall rate of change is -18 / 3 = -6 (the amount the y changed / difference between x values of points).

For function g, we see that between x = -6 and x = -3, the function increases. In this case, we can't see by exactly how much (as when x = -6, the function doesn't exactly intersect a y value), but we can estimate that it increases by about 9. 9 / 3 = 3.

Therefore, the average rate of change of f is less than the average rate of change of g.

Hope this helped!

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: