Answer:
t = 4
Step-by-step explanation:
Given that:
When h(t) = 80, we have that:
t = 0 represents when the ball has not been thrown at all, in its initial position.
t = 4 represents the time taken for the ball to hit the roof of the building on its way down.
Hence, our answer is t = 4. (t is in secs)
Answer:
100,000,000
Step-by-step explanation:
10^4 = 10,000
(10,000)^2
= 100,000,000
We are given the parent function, f(x) = 5x and is vertically compressed by a factor of 1/2, shifted to the right (3 units) and down two units.
Vertical compression makes the function:
f(x) = (1/2) * 5x
shifted 3 units to the right makes the function:
f(x) = (1/2) * 5 (x+3)
shifted 2 units down makes the function:
f(x) = (1/2) *(5 (x+3)) - 2
therefore, this function is the resulting function after performing all three adjustments of the parent function. First, compression, then shift to left/right, then shift up and down.
1) 5, 5 1/2, 2) 5, 6, 8, 3) 3, i know this because the graph shows three dots over the number 6 on the graph, 4) 5.5, 6, 8, i know this because all the other pearl sizes occurred more often
Answer:
f(x) = (x+4)^2 / 2
Step-by-step explanation:
To make a horizontal shift to the left 4 units, we just need to substitute the value of x for 'x+4', then we will have:
f(x) = (x+4)^2
Then, to make a vertical shrink of 1/2, we just need to multiply the function (the new function after being shifted horizontally to the left) by 1/2, then we will have:
f(x) = (x+4)^2 / 2
