The equation in the vertex form of g(x) is:

<h3>
How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:

The vertex is at:

The y-value of the vertex is:

Then the vertex form of f(x) is:

If we move this vertex 2 units below, and 3 units to the left, then we have:

That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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Answer: 15 1/3 months
Step-by-step explanation:
Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:
b = 3m + 210 ...... equation i
Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:
b = 4.5m + 187 ....... equation ii
Combine both equations
b = 3m + 210
b = 4.5m + 187
3m + 210 = 4.5m + 187
4.5m - 3m = 210 - 187
1.5m = 23
m = 23/1.5
m = 15 1/3 months
Answer:
Z=2
Step-by-step explanation:
Z8=16
Z=16/8
Z=2
Answer:
50, 52, 54, 55, 56, 56, 64, 65, 68, 74, 74, 76, 77, 77, 80, 81, 90, 91, 95, 99,
Step-by-step explanation:
Answer:
m = - 1
Step-by-step explanation:
Given
= - 6
Multiply both sides by 2 to clear the fraction
15m + 3 = - 12 ( subtract 3 from both sides )
15m = - 15 ( divide both sides by 15 )
m = - 1