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Mama L [17]
3 years ago
9

The function f(x)=x^2 is stretched vertically by a factor of 3, translated 2 units to the right, and translated 3 units down. Wr

ite the equation of the transformed function.
Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

f(x)=(3x^2-2)-3

Step-by-step explanation:

Multiply the x^2 by three for the vertical stretch.

Then subtract the two for the right translation.

Then outside the parenthesis subtract the three to shift it down three units.

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Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,
Xelga [282]

Given:

Amount in Aleka and Helene accounts represented by the following function:

Aleka: f(x) = 2500(1.025)^x

Helene: g(x) = 1500(1.025)^x + 200x

To find:

The function represents the difference, h(x) = f(x) -g(x), between the value of Aleka's and Helene's total savings after x years.

Solution:

We have,

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g(x) = 1500(1.025)^x + 200x

Now,

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