9514 1404 393
Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
Answer:
thank you
Step-by-step explanation:
Answer:
6 13/14
Step-by-step explanation:
Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.
2/7 x 2/2 = 4/14
4/14 + 9/14 = 13/14
4 + 2 = 6
6 13/14
We want to solve
Subtract 5 from each side.
Divide each side by 3.
Take natural logs of each side.
Divide each side by 2.
x = 0.9962
Answer: x = 0.996 (nearest thousanth)
