Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
Hence, our function is:
The axis of symmetry of g(x) is 2 units right side from the origin then the function is . Then the correct option is A.
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function f(x) is .
The axis of symmetry of f(x) is left side by 3 units.
The axis of symmetry of g(x) is 5 units to the right of f(x).
Then the axis of symmetry of g(x) is 2 units right side from the origin.
Then the g(x) will be
Thus, the correct option is A.
More about the function link is given below.
Answer:
9 units
Center is at (5, 0)
Step-by-step explanation:
The radius of the circle is equal to the square root of 81
= ±9
Since the radius of a circle must be positive the answer is 9 units.
The center of the circle is at (5, 0)