<h3>
Answer: g(x) = (-2/3)*x^2</h3>
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Work Shown:
f(x) = x^2
g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).
The value of 'a' vertically stretches f(x) upward if a > 0
If 'a' is negative, then we have a reflection going on as shown in the diagram.
We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6
If we plugged x = 3 into f(x), we get
f(x) = x^2
f(3) = 3^2
f(3) = 9
So,
g(x) = a*f(x)
g(3) = a*f(3) ... replace x with 3
g(3) = a*9 ... replace f(3) with 9 since f(3) = 9
-6 = a*9 ... replace g(3) with -6 since g(-3) = -6
9a = -6
a = -6/9
a = -2/3
Therefore, this means
g(x) = a*f(x)
g(x) = (-2/3)*f(x)
g(x) = (-2/3)*x^2
Step-by-step explanation:
IF THERE ARE FIVE PIECES TO BE SHARED AND EVERYONE MUST HAVE AN EQUAL SHARE THEN EACH PERSON SHOULD GET HALF A PIZZA WHICH IS 1/2. BETWEEN 0 AND 1 IS WHAT THE FRACTION 1/2 WE BE BETWEEN.
Given:
A diagram of two triangles.
To find:
Whether the triangles are congruent or not.
Solution:
In triangles DEF and DGF,
(Given)
(Reflexive property)
(Given)
Two corresponding angles and their included angles are congruent, so the triangles are congruent by ASA postulate.
(ASA congruence postulate)
Therefore, yes the triangles are congruent by ASA. Hence the correct option is A.
Because John would keep one for his records and who ever does his taxes would send one into the IRS.
