The parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
Parabola with zeros at (-2, 0) and (5, 0) and passes through the point (-1, -4)
In factored forms:
f(x) = (x + 2)(x - 5)
Because zeros at (-2, 0) and (5, 0)
In the standard form:
f(x) = x² - 3x - 10 or
f(x) = (x - 3/2)² - 49/4
Thus, the parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.
Learn more about the parabola here:
brainly.com/question/8708520
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