The correct option is D: G(x) = -5x².
The equation of G(x) will be -5x² after vertically stretching and flipping.
<h3>What is meant by stretching vertically and flipping?</h3>
A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.
- Vertical stretching: A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1.
- flipped over the x-axis: In order to reflect over the X axis, one must negate the value of each point's y-coordinate while maintaining its x-value. The graph reflects across the x-axis prior to transformation when the parent function f(x) = x² has an a-value smaller than 0. The function f(x) = -x² is the result.
To know more about the vertical stretch, here
brainly.com/question/14325265
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The complete question is -
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?
A: G(x) = -1/5x²
B: G(x) = 5x²
C: G(x) = 1/5x²
D: G(x) = -5x²
