For the function f(x) = –2(x + 3)2 − 1, identify the vertex, domain, and range. the vertex is (3, –1), the domain is all real numbers, and the range is y ≥ –1. the vertex is (3, –1), the domain is all real numbers, and the range is y ≤ –1. the vertex is (–3, –1), the domain is all real numbers, and the range is y ≤ –1. the vertex is (–3, –1), the domain is all real numbers, and the range is y ≥ –1.

we have

we know that

the equation of a vertical parabola in vertex form is equal to

where

is the vertex

If ------> then the parabola open upward (vertex is a minimum)

If ------> then the parabola open downward (vertex is a maximum)

In this problem

the vertex is the point

so

------> then the parabola open downward (vertex is a maximum)

The domain is the interval-------> (-∞,∞)

that means------> all real numbers

The range is the interval--------> (-∞, -1]

that means

all real numbers less than or equal to

therefore

the answer is

a) the vertex is the point

b)  the domain is all real numbers

c) the range is

see the attached figure to better understand the problem

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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step-by-step explanation:

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step-by-step explanation: