The graph of the parabola is given at the end of the answer.
What is the equation of a parabola given it’s vertex?
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Considering the range and the symmetry line, the vertex of the function is at (-1,-4) and:
h = -1, k = -4.
Hence:
y = a(x + 1)² - 4.
It has a y-intercept of -3, that is, when x = 0, y = -3, hence we use it to find a as follows.
-3 = a - 4
a = 1.
Hence the function is:
y = (x + 1)² - 4.
The graph of this function is given at the end of the answer.
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
#SPJ1
