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Over [174]
3 years ago
5

Can someone please help

Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:

Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis

Step-by-step explanation:

Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example,  the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.

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Using derivatives, it is found that regarding the tangent line to the function, we have that:

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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

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Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

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Hence:

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2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

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