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sladkih [1.3K]
3 years ago
7

If the function g(x) = f(x + 2), how can the graph of the function g(x) be obtained from the graph of f(x)?

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer:

Step-by-step explanation:

D

tankabanditka [31]3 years ago
6 0

Answer:

B). by translating the graph of f(x) two units to the left.

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In Triangle LMN, < M is a right angle. If MN = 10 and LN = 20.4, determine m < N to the nearest degree.
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cos θ = \frac{adjacent}{hypotenuse}

cos ∠N = \frac{10}{20.4}

      ∠N = cos⁻¹ (\frac{10}{20.4})

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Answer: 61°

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Step-by-step explanation:

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3 years ago
What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
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