Write the quadratic function in the form gx axh2 k then gi

Write the quadratic function in the form g(x) - a(x-h)^2 + k then give the vertex of its graph g(x)-2x^2 + 20x + 52 writing in the form specified: g(x) =

Solution

given g(x)=2x²+20x+52

g(x)=2(x²+10x)+52

g(x)=2(x²+10x+(10/2)²-(10/2)²)+52

g(x)=2(x²+10x+25-25)+52

g(x)=2(x²+10x+25)-50+52

g(x)=2(x²+10x+25) +2

g(x)=2(x+5)² +2

g(x)=2(x-(-5))² +2

vertex (-5,2)