Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
NO 2+2 = 22
Step-by-step explanation:
Answer:
<h2>B. y - 1 = -3(x - 9)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - point
The formula of a slope:
We have the points (9, 1) and (4, 16). Substitute:
Started at 2000....after 6 hrs it grew to 2400...that means in 6 hrs, it grew 400.
6/400 = 16/x ....6 hrs to 400 = 16 hrs to x
this is a proportion, so we cross multiply
(6)(x) = (400)(16)
6x = 6400
x = 6400/6
x = 1066.67 <==
