I believe that the answer would be B) y = x + 19
The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
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You can learn more about translation in brainly.com/question/2451812
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A number that has a digit in the tenths place, hundredths place or beyond is called decimal numbers. Any number after the decimal point is called decimal number, it value always started in tenths place value, then followed by hundredths, then thousandths, then ten thousandths, then hundred thousandths and so on. It is still the same with giving place value in whole number. The only difference is, its value decreases as it becomes away from the decimal point.
Answer: a = 1/6
Explanation: Convert the mixed number into an improper fractions. Which is 21/4.
Then you can do the butterfly method.
