The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.
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 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 vertical compression by a factor of 1/3, vertical shift up 5 units.
a = 3
(h, k) = (0, 5)
Then the equation will be
y = 1/3(x – 0)² + 5
y = (1/3)x² + 5
More about the parabola link is given below.
https://brainly.com/question/8495504
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