Answer:
The answer is given in the graph attached.
Step-by-step explanation:
i) The answer is given in the graph attached.
Answer:
D. g(x) = 3·x²
Step-by-step explanation:
The given parent function, f(x) = x²
The graph of the function, g(x) is narrower than the graph of the function f(x)
Therefore, the coefficient of the quadratic function is larger than 1
The given point on the parabola, g(x) = (1, 3)
Therefore. when x = 1, g(x) = 3
However, when x = 1, f(x) = 1
Therefore, given that g(x) = a·f(x), we get;
a = g(x)/(f(x)) = 3/1 = 3
g(x) = 3·x²
Answer:
D(-2, 5).
Step-by-step explanation:
We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).
And we want to determine the coordinates of D.
Recall that the midpoint is given by:

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

This yields two equations:

Solve for each:

And:

In conclusion, Point<em> </em>D = (-2, 5).
Answer:
(2). -1
Step-by-step explanation:
The given parameter can be represented as:

See comment for correct question
Required
The end result
From the question, we understand that m is a natural number
This means that:
odd number
So:
--- i.e. -1 to the power of an odd number will give -1
<em>Hence; (2) is correct</em>