The function represents a reflection of across the y-axis ⇒ 3rd answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
∵
∵ g(x) is the image of f(x) after reflection across the y-axis
- From the rule above reflection across the y-axis changes the sign of x
∴
∵
∵
∴
∴
The function represents a reflection of across the y-axis
Learn more:
You can learn more about reflection in brainly.com/question/5017530
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Answer:
$0.90
Step-by-step explanation:
You are solving for the price of one watermelon (a unit of watermelon).
What is given to you is the price of 4 watermelons, or $3.60. To solve, simply divide $3.60 with 4:
3.60/4 = 0.90
$0.90 is your answer.
Remember to add the hundredth place value (0), as money goes to the hundredth place value.
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Answer: a) y = f(x - 6)
b) y = f(x) - 2
<u>Step-by-step explanation:</u>
For transformations we use the following formula: y = a f(x - h) + k
- a = vertical stretch
- h = horizontal shift (positive = right, negative = left)
- k = vertical stretch (positive = up, negative = down)
a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2