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The transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The options are missing.
The options are:
A. G(x) = 4x²
B. G(x) = -(1/4)x²
C. G(x) = -4x²
D. G(x) = (1/4)x²
We have an equation of a function F(x)
F(x) = x²
The transformation F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x)
To stretch vertically if the function is multiplied by a constant value
f(x) = ax²
To flip over the x-axis if multiply by negative value.
g(x) = -ax²
From the options
G(x) = -4x²
Thus, the transformed function is G(x) = -4x² after applying the transformation stretched vertically and flipped over the x-axis option (C) G(x) = -4x² is correct.
Learn more about the function here:
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Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
