The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the groundf(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the groundf(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the groundf(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
Step-by-step explanation:
The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.
This is because to find the scale factor, you have to take the square root of the area scale. This will give you 30-1 ratio. Then multiply the 4 by that number.
