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
Answer:
Previously, there were 29 members in the ski club
Step-by-step explanation:
Subtract 9 from 38
Answer:
The change division should put the unit to be dispensed with as an afterthought inverse of where it happens in the first inquiry.
540 inches * (1 yard/36 inches)
The inches best and base drop, abandoning you with the outcome in yards.
Actually, the area of a triangle is a = bh/2. If a = 30 and b = 12:
So he height is 5 units
Answer:
D or 6
Step-by-step explanation:
Angle G is bisected if FGHI is a square. That being the case
7x + 3 = 45 Subtract 3 from both sides
7x = 45 - 3 Combine
7x = 42 Divide by 7
7x/7 = 42/7
x = 6
