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Sidana [21]
3 years ago
9

What is the domain and range of quadratic function with vertex.

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if

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Given that the line y=c-2x is tangent to the curve y^2=kx where c and k are non-zero constants,express k in terms of c
Viktor [21]

Answer:

k = -8c.

Step-by-step explanation:

y^2 = kx

Find the slope of the tangent by differentiating:

y' 2y = k

y' = k / 2y = the slope of the tangent.

The given equation of the tangent is y = -2x + c so the slope = -2.

Therefore  k/2y =  -2  so k = -4y and y = -k/4

y^2 = kx so k^2/16 = kx giving x = k/16.

Substituting for x and y in y = -2x + c:

-k/4 = -2 k/16 + c

-k/4 = -k/8  + c

c = -k/4 + k/8 = -k/8.

So -k = 8c

k = -8c.

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4 years ago
At a summer camp there are 40 boys out of 70 campers what is this ratio written as a fraction in simplest form
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Answer:

4:7

Step-by-step explanation:

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Please helpppp Multiply (-4)(-2)(-5) A -40 B -8 C 8 D 40
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Answer:

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Step-by-step explanation:

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