6. Determine a quadratic function in vertex form that has the given characteristics.
a) its vertex at (2, 0) and passes through the point (1, 3)
b) its vertex at (–2, 3) and passes through the point (–1, 1)
c) its vertex at (3, –2) and has an x-intercept of (5, 0)
d) its vertex at (4, 1) and has a y-intercept of (0, –15)
7. Determine a quadratic function in vertex form for each parabola.
a)
b)