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:
brainly.com/question/1548871
Answer:
y=.5 or y=1/2
Step-by-step explanation:
3(0)+2y=1
3 x 0 = 0
0 + 2y = 1
2y = 1
Divide by 2
y=.5 or y=1/2
There are 5 squares of dimensions 3 x 3.
5 x (9) = 45 sq. in.
There are 4 right triangles of leg lengths of 6.
4 x (18) = 72 sq. in.
45 + 72 = 117 sq. in.
Let
X/Y--------> the ratio
we know that
X/Y units --------> are inches/yards
9 yards*(X/Y ) inches/yards-------> 9*X/Y yards*inches/yards----> 9*X/Y inches
the ratio in this problem is (X/Y inches /yards)-------> 36/1 inches/yards
the unit in the numerator of the ratio is inches
the answer is
inches
Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
