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.)

5 0

2 years ago

What is m ∠ ZUB? 23.7° 32.8° 33.5 57.2°

oee [108]

Answer:

23 .7 ruim

57.2 sol

32 .8 mais ou menos

tchau bj

3 0

2 years ago

What is the probability that a coin will be flipped 4 times and the result will be HTHT?

zepelin [54]

I think the answer is 1/16 because there is only one way that HTHT can fall out of 16 possible outcomes. That's what I think. Hope this helps!

5 0

3 years ago

Read 2 more answers

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

------------------

-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

to check:

x + y = 212

123 + 89 = 212

212 = 212

6 0

3 years ago