Let's begin with <span>f(x) = a(x-h)^2+ k. Note that we must use "^" to indicate exponentiation. Write (x-h)^2, not (x-h)2.
If (-3,4) is the vertex, then the above equation becomes f(x) = a(x-[-3])^2 + 4, or
f(x) = a(x+3)^2 + 4. We are told that the graph passes through (-1,0), so must now substitute those coordinates into the above equation:
f(-1) = a([-1]+3)^2 + 4 = 0 (0 is the value of f when x is -1)
Then we have a(2)^2 + 4 =0, or 4a + 4 = 0. Thus, a = -1.
The equation of this parabola is now f(x) = -(x+3)^2 + 4.
Write it in "standard form:" f(x) = -(x^2 + 6x + 9) + 4, or
f(x) = -x^2 - 6x - 9 + 4, or
answer => f(x) = -x^2 - 6x - 5 = ax^2 + bx + c
Thus, a=-1, b=-6 and c= -5.</span>
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r
=
4000
v
=
13796
5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a
2
+
b
2
=
c
2
a
2
+
4000
2
=
(
4000
+
13796
5280
)
2
a
2
=
(
4000
+
13796
5280
)
2
−
4000
2
a
=
√
(
4000
+
13796
5280
)
2
−
4000
2
≈
144.6
Answer:1/2-3/10=2/10. 4/5-3/10=1/2 or 5/10
Step-by-step explanation:figure it out bc idk how to explain it
You can solve it with the numbers you already have.
so, 23 - 15 = 8
so 15 + 8 = 23
b is 8 (: