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.)
Answer:
Step-by-step explanation:
<u>The ratio of corresponding sides of similar figures is same:</u>
- 3x/20 = (4x + 2)/(20 + 8)
- 3x/20 = (2x + 1) / 14
- 3x(14) = (2x + 1)(20)
- 42x = 40x + 20
- 2x = 20
- x = 10
Answer:
Wouldn't the answer be C) Positive Integers?
Step-by-step explanation: Because the complement of a set include all of the elements not included in the indicated set. I hope I'm making some sense. :)