Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is .
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .
Answer:
D
Step-by-step explanation:
4 people = 15 days
1 people = 15/4 = 3.75
so, 6 people = 3.75 × 6
= 22.5
Answer:
y = -2.5
Step-by-step explanation:
For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...
f(x) = 0 -2.5
which simplifies to ...
f(x) = -2.5
You can leave the equation like this, or write it as ...
y = -2.5
_____
Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.
Answer:
Slope <em>m</em> = 3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -1 + 3x
<u>Step 2: Rewrite</u>
<em>Rearrange</em>
y = 3x - 1
<u>Step 3: Break Function</u>
<em>Identify parts</em>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -1