Question

Write the equation of the parabola in vertex form given the vertex (–2, 3) and point (0, 1).

Answer 1

$y=a(x-h)^2+k$$y=a(x-(-2))^2+3$$y=a(x+2)^2+3$$1=a(0+2)^2+3$$1=4a+3$$\frac{1-3}{4}=a$$-\frac{1}{2}=a$

the equation is

$y=-\frac{1}{2}(x+2)^2+3$