Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
Answer:
1. Not equal
2. Equal but not connected
3. Equal
4. Equal
Step-by-step explanation: Sorry if not correct :(
Answer:
the answer is seven.
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
6-3 =3 and 4-4 = is 0 and 8-8= 0 so the answer is 0.003
Answer:
B. y = x +3
Step-by-step explanation:
The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.
<h3>Substitution</h3>
Using the first line in the table, (x, y) = (2, 5), we have ...
A 5 = 2(2) . . . . false
B 5 = 2 +3 . . . . true
C 5 = 3(2) . . . . false
D 5 = 2 +1 . . . . false
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<em>Additional comment</em>
Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.
