Answer :
The function whose graph is y=(x=3)^2 reflected over the x-axis is:
y=(-1)(x+3)^2
You can find this because if the original graph is reflected about the x-axis, you know that all of the y-values must by multiplied by -1, or basically negative (though not negative in all cases)
y=(-1)(x+3)^2
You can find this because if the original graph is reflected about the x-axis, you know that all of the y-values must by multiplied by -1, or basically negative (though not negative in all cases)
If the reflection of the parabola is taken about the x-axis then the upward parabola becomes a downward parabola. Then the equation becomes y = -(x + 3)².
What is the parabola?
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The function is given below.
y = (x + 3)²
The vertex of the upward parabola is at (-3, 0).
If the reflection of the parabola is taken about the x-axis then the upward parabola becomes a downward parabola. Then the equation becomes
y = -(x + 3)²
The graph is shown below.
More about the parabola link is given below.
https://brainly.com/question/8495504
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