The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>
The equation of the function is given as:
The parent function of the above equation is:
First, the function f(x) is reflected across the y-axis to give
Next, the function is shifted 2 units up.
So, we have:
Rewrite as:
Express f(-x) + 2 as g(x).
So, we have:
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
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Answer:
f(-4) = 5
Step-by-step explanation:
Explanation of
_
| 5, x < -3
f(x) | 2x² - 4, -3 ≤ x ≤ 4
| 1 - 6x , x > 4
_
When the x in f(x) is less than -3 than f(x) = 5
When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4
When the x in f(x) is greater than 4 than f(x) = 1 - 6x
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Now that we know this lets look back at the question.
We want to find f(-4).
Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5
Answer:
I think A
Step-by-step explanation:
Is this rsm? lol okay.
x is the amount of money invested at 5%
y is the amount of money invested at 6%
the total amount of money invested is $6000, or x+y
when it says the yearly income is $337.50, it means that the 5% of x plus the 6% of y equals $337.50.
now write the two equations:
x+y =6000
0.05x + 0.06y = 337.50
now, find y for the first equations, which is y= 6000 - x. use this equation to substitute for the second equation.
0.05x + 0.06(6000 -x) = 337.50
blah, blah, blah, solve for x... you should get x = 2250, and y = 3750.
I hate money problems like this, hope it helps.
M<1 = M<3
these 2 angles are equal for parallel lines
6x=120
X=120/6=20