Answer:
the crazy part is that 69 points with the bike
Step-by-step explanation:
Answer:
The probability is 2/5
Step-by-step explanation:
Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car
The number of cars to select from is 6 + 9 = 15 cars
The number of yellow cars is 6
So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5
Answer:
Domain: [0, ∞)
Range: [7850, ∞)
Step-by-step explanation:
A function is defined by the set of ordered pairs having different output values for every input value.
In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.
Therefore, graph represents a function.
Domain of the given function → [0, ∞)
Range of the function → [7850, ∞)
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
