Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- 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)
- 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
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
i think the answer to this is 3.15
Answer:
The correct answer is 7.
Step-by-step explanation:
Let there be x number of candies in each bag filled by Ken and Mali.
Both Ken and Mali started with equal number of candies and put same number of candies in each bag.
Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.
Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.
As both had equal number of candies in the beginning,
9x + 3 = 8x + 10
⇒ x = 10 - 3 = 7
Thus each bag contained 7 candies.
Answ#$%^&* Im just joking but is that the hole Question thank you
Step-by-step explanation:
Answer:
25 ft
Step-by-step explanation:
2cm+2cm=20ft
1cm=5ft
