The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>
C) f(x) = 2(x + 1)2 + 2</span>
Answer:
The domain of the function is all real numbers 
and the range is all positive real numbers 
Step-by-step explanation:
We have the following function 
and we want to find the domain and the range.
The function we have is an example of an exponential function 
with b > 0 and b ≠ 1. This types of functions in general have the following properties:
- It is always greater than 0, and never crosses the x-axis
- Its domain is the set of real numbers
- Its Range is the Positive Real Numbers
The domain of a function is the specific set of values that the independent variable in a function can take on.
When determining domain it is more convenient to determine where the function would not exist.
This function has no undefined points nor domain constraints. Therefore the domain is .
The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is .
We can check our results with the graph of the function.
Answer:
Well I took it"s Reflect the intermediate image. and Multiply the vertices of polygon ABCD by One-half.
Step-by-step explanation:
Answer:
The quantity is 12
Step-by-step explanation:
Here, we want to find the solution to the equation.
Let the quantity we are looking for be x;
According to the question;
The quantity plus a quarter of the quantity = 15
x + 1/4(x) = 15
x + x/4 = 15
Multiply through by 4
4x + (x/4)*4 = 15 * 4
4x + x = 60
5x = 60
x = 60/5
x = 12
