# For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range. (2 points) The vertex is (3, −1),

1 answer

###### Question:

For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range. (2 points) 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.

## Answers

Option C. The vertex is (-3, -1), the domain is all real numbers, and the range is y ≤ -1.

Step-by-step explanation:

we have

[tex]f(x)=-2(x+3)^2-1[/tex]

This is the equation of a vertical parabola written in vertex form open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The vertex is the point (-3,-1)

The domain is all real numbers

The range is the interval (-∞,-1]

[tex]y\leq -1[/tex]

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