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saw5 [17]
3 years ago
11

Find the vertex of the graph of the function. f(x) = 2x^2 - 8x + 9

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{c}{\downarrow }}{+9} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-8}{2(2)}~~,~~9-\cfrac{(-8)^2}{4(2)} \right)\implies \left( \cfrac{8}{4}~~,~~9-\cfrac{64}{8} \right) \\\\\\ (2~~,~~9-8)\implies (2~~,~~1)

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If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x
N76 [4]

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

Learn more about a function here:

brainly.com/question/12431044

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6 0
1 year ago
N(n - 4) + n(n + 8) = n(n - 13) + n(n + 1) + 16
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5 0
3 years ago
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a rocket was launched into the air from a platform above the ground. The height, in feet, of the rocket above the ground t secon
vova2212 [387]
For this case we have the following expression:
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the 80 in the expression represented:
 
the initial height of the rocket
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Answer:

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Step-by-step explanation:

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2 years ago
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