Answer:
(b,a)
Step-by-step explanation:
hard to explain, just memorize that
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
Standard form of a parabola:
Let's find the vertex of this parabola.
In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
Simplify using PEMDAS.
Subtract 4 from both sides.
Now we have (h, k) and a of the vertex form.
- y = a(x - h)² + k → y = 3(x - 2)² + 4
In order to convert from vertex to standard form, simplify the equation by FOILing.
Distribute 3 inside the parentheses.
Combine like terms.
Therefore, we have the answer:
<u>Vertex form:</u>
<u>Standard form:</u>
Answer:
r = 14
Step-by-step explanation:
Slope = 
Cross multiply,
-4 - r = -3*6
-4 - r = -18
-4 = - 18 + r
-4 + 18 = r
r = 14
Answer:
1, 2, and 4
Step-by-step explanation:
Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour). Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.
I would begin with 1/2 and divide that by 3:
1
--
2
====
3
--
1
Inverting the fraction in the denom. and multiplying, we get
1 1 1
-- * ---- = -----
2 3 6
So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.
Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.
