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erma4kov [3.2K]
3 years ago
14

What is the vertex of g(x) = 3x2 − 12x + 7? (−6, −5) (−2, −5) (2, −5) (6, −5)

Mathematics
1 answer:
kupik [55]3 years ago
7 0

(h ,k) —> (2 , –5)

g(x)=3x²-12x+7 —> y= 3(x-2)²-5

y=a(x–h)²+k —> a= 3 , h=2 , k= –5

(h ,k ) —> (2, –5)

I hope I helped you^_^

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Answer:

Option B is correct

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Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

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As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

\text{Slope}= \frac{10-6}{3-1}

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⇒\text{Slope}= \frac{4}{2}

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

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3 years ago
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hello :

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muminat
To solve an equation for a variable, you must isolate the variable on either side of the equation. To do this, simply subtract 32 from both sides of the original equation:

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