Write the quadratic function in the form f(x)= a(x-h)^2 +k
Then give the vertex of its graph.
f(x)= 3x^2 +18x +30
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to convert into vertex form, we use the principle of completing the square.
f(x)-30=3x^2+18x : add both sides with (b/2)^2
y-30+ 3()=3(x^2+6x ), the spaces will be used to balance the equation.
take half the coefficient of x on the right side; (1/2)*(6)=3. now square the results 3^2=9
Add 9 on both spaces in the previous equation.
y=3(x+3)^2 + 3
but (h,k) is the vertex h= -3 and k= 3
vertex is (-3, 3)
I also need the quadratic function in the form : f(x)=
sorry. i used y to make the calculations understandable.
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