write the function whose graph is y=(x+3)^2, but is reflected about the x-axis.

Sagot :

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) 

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

#SPJ2

View image Jainveenamrata