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Oliga [24]
2 years ago
6

Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.

Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

<u>Details of Graph</u>

  • Vertex = (0, 0)
  • Axis of Symmetry : y-axis
  • Y-intercept : 0
  • Zeros : (0, 0)
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A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship th
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The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

<h3>How can Andrea's new age be calculated?</h3>

The time dilation using the Lorentz transformation formula is presented as follows;

t' =  \frac{t}{ \sqrt{1 -  \frac{ {v}^{2} }{ {c}^{2} } } }

From the question, we have;

The spaceship's speed, <em>v</em> = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\delta t' =\delta t \times  \sqrt{1 -  \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8

The time that elapses as measured by Andrea = 8 years

Andrea's age, <em>A</em>, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

brainly.com/question/15544452

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3 0
2 years ago
A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)
spayn [35]

Answer:

f(x) = -2 (x + 2)² - 4  

Step-by-step explanation:

f(x) = a (x - h)² + k     (h , k) is vertex    h = -2     k = -4

pass point (-1 , -6)     f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4

5 0
3 years ago
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