Which equation has a graph that is a parabola with a vertex at (-1, -1)?

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

Step-by-step explanation:

anastassius [24]3 years ago

4 0

Answer:

y = (x + 1)² - 1

Step-by-step explanation:

The equation of a parabola in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h,k). Replacing with vertex at (-1, -1) we get:

y = a(x - (-1))² + (-1)

y = a(x + 1)² - 1

The only option with vertex at (-1, -1) is y = (x + 1)² - 1 (where a = 1)

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snow_tiger [21]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the following by elimination method 11x+15y+23=0 and 7x-2y-20=0

mr Goodwill [35]

Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
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y = -45/15
y = -3

Therefore, x = 2 and y = -3.

7 0

4 years ago

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu

irina [24]

Answer:

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

Step-by-step explanation:

In this case, we must observe that total cost of the dog ( $C(d)$ ) is the sum of two components: i) Fixed cost ( $C_{f}$ ) - Adoption fee, ii) Variable cost ( $C_{v}$ ) - Daily cost of feeding the dog, both measured in US dollars.