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Simora [160]
2 years ago
10

I'm struggling fr now, pls can you help me answer these questions using the y= mx+ c method thanks!

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

Answer:

Examination of the equation shows (graph):

x = 0, y = .5

Then .5 = c      gives us the value of c giving

y = m x + .5    is our equation

Using y = 0, x = -1 gives

o = -1 * m + .5

m = .5

y = .5 x + .5    for the final equation

Check:

At x = 5, y = 3

3 = .5 (5) + .5 = 3

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Slope is\text{m}=\frac{y_1-y_2}{x_1-x_2}=\cfrac{10-2}{1-(-3)}
Then you use the equation
\text{y=mx+b}
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You know m (from above) and now you can solve for b.

Rearrange terms:
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And that will be the answer.

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Answer:

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The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.

<h3>What is the graph of a function?</h3>

The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.

The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.

  • The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
  • The range of the function is f(x) ≤ 0
  • The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
  • The vertex is maximum at (-1,0)

Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.

Learn more about the graph of a function here:

brainly.com/question/24696306

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