A. Write an equation for a parabola with a vertex at (0, -5).
HINT: Assume the parabola is in the form ax^2 + bx + c = y. Need to solve for a b and c.
b. Is there more than one parabola that has this vertex?
c. What happens to your parabola if you change the constant term to 12?
d. What happens if you double the coefficient on the first order term?
e. What happens to the graph of the parabola if you double the coefficient on the second order term?
(Please provide graphs of your parabolas if possible.)
A step by step solution is provided to explain the concept.