Answer:
-3x + 3
OR
-3(x-1)
if you want it factored
Step-by-step explanation:
transition up is just adding the desired amount to the equation so
f(x) transitioned up 1 = -3x+3
Answer:
10
Step-by-step explanation:
If Daisy is originally 5 years old, then Olivia would be three times her age which is 15 years old.
After 5 years pass, Daisy will be 10 years old and Olivia will be 20 years old, making Olivia twice as old as Daisy now.
Answer:
Step-by-step explanation:
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:
5
Step-by-step explanation:
Count the number of people not in the soccer circle that are not girls
2+3
5
