Which of these is the standard form of the following function? f(x) = -9(x + 5)2 + 4

f(x) = 9x2 − 90x − 221

f(x) = -9x2 − 90x − 221

f(x) = 9x2 − 180x + 221

f(x) = -9x2 − 180x − 221

We conclude that the  standard form of the given function is:

Hence, option B is correct.

Step-by-step explanation:

We know that the standard form of the quadratic function is of the form

Given the function

as (x+5)² = x² + 10x + 25

Expanding  -9(x² + 10x + 25) = -9x² - 90x - 225

simplifying

Therefore, we conclude that the  standard form of the given function is:

Hence, option B is correct.

Hope this helps!

Step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0