If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
To answer this question, multiply all given numbers together.
4*3*3
12*3
36
36 different value meal packages are possible.
Hope this helps!
9514 1404 393
Answer:
C. x^2 + 3
Step-by-step explanation:
Substitute for f(x) and g(x) and simplify.
(f -g)(x) = f(x) -g(x)
(f -g)(x) = (2x^2 +2) -(x^2 -1) = 2x^2 +2 -x^2 +1
(f -g)(x) = x^2 +3
Answer:
next should be 2250 if my math is correct
