The equation of the new function will be g(x) = x² – 6. Then the correct option is A.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The function is given below.
f(x) = x²
If you vertically shift this function down 6 units.
Then the equation of the new function will be
If the value of k is negative, then the function get shifted downwards.
Then the new function will be
g(x) = x² – 6
Then the correct option is A.
More about the parabola link is given below.
brainly.com/question/8495504
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