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4 years ago

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

Mathematics

1 answer:

Jet001 [13]4 years ago

4 0

Answer:

Vertex: (-3, -1)

Domain: All real numbers or (-∞, ∞)

Range: (-∞, -1]

Step-by-step explanation:

Quadratic Function: f(x) = a(bx - h)² + k

(h, k) is vertex

Step 1: Find vertex

f(x) = -2(x + 3)² - 1

h = -3

k = 1

Vertex = (-3, 1)

Step 2: Graph

When we graph, we should see our domain and range.

Domain is all x-values that can be inputted into the function.

Range is all y-values that can be outputted from the function.

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3 years ago

Select the three ratios that represent the number of red cars to blue cars.

Lorico [155]

Three ratios that represent the number of red cars to blue cars are

2 : 3

6 : 9

8 : 12

$\texttt{ }$

<h3>Further explanation</h3>

<u>Given:</u>

Number of Red Cars = 4

Number of Blue Cars = 6

<u>Asked:</u>

Ratio = ?

<u>Solution:</u>

<em>Number of Red Cars = R</em>

<em>Number of Blue Cars = B</em>

The ratio that represent the number of red cars to blue cars is :

$R : B = 4 : 6$

We can find other ratio by dividing or multiplying the above comparison with the same number :

$R : B = (4/2) : (6/2) = 2 : 3$

$R : B = (4 \times 2) : (6 \times 2) = 8 : 12$

$R : B = (4 \times \frac{3}{2}) : (6 \times \frac{3}{2}) = 6 : 9$

$\texttt{ }$

<h3>Conclusion:</h3>

Three ratios that represent the number of red cars to blue cars are:

2 : 3

6 : 9

8 : 12

$\texttt{ }$

<h3>Learn more</h3>

The LCM and HCF : brainly.com/question/420337
A car’s service book : brainly.com/question/422755
Verify that HCF × LCM = product of two numbers : brainly.com/question/10942748

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Ratio

Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Substitute 50 for y in the formula

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Answer:

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