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Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x + 150, or in

ycow [4]

(5×3)+150=165
150×(1.03)^(3)=163.91

(5×10)+150=200
150×(1.03)^(10)=201.59

f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

6 0

3 years ago

Write the function a a product of linear factor by grouping or using the x method or a combination of both

Sladkaya [172]

<h3><u>Answer:</u></h3>

$\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}$

<h3><u>Step-by-step explanation:</u></h3>

Given function to us is :-

$\bf \implies g(x) = x^2 - 9$

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

$\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup$

I have also attached the graph of x²-9.

<h3><u>Hence </u><u>option</u><u> </u><u>A</u><u> </u><u>is</u><u> </u><u>corr</u><u>ect</u><u> </u><u>.</u></h3>

4 0

3 years ago

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function $f(x)=x^3$ has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).