Question

Convert this quadratic function to vertex form.

y=x^2+14x+48
Then determine the minimum value of the function.
plz show all work

Answer 1

y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1

Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.