Let's now factor the function by completing the square. We will first add ( b2 )^2= 3^2. Note that we also have to subtract 3^2 to leave the function unchanged.
Let's now factor the function by completing the square. We will first add ( b2 )^2= 2^2. Note that we also have to subtract 2^2 to leave the function unchanged.
Let's now factor the function by completing the square. We will first add ( b2 )^2= 4^2. Note that we also have to subtract 4^2 to leave the function unchanged.
Now we know that the graphing form is f(x)=(x+4)^2-16, which can be also written as f(x)=(x-( - 4))^2+(- 16). The vertex of the parabola is ( - 4,- 16).
d To rewrite the given quadratic function in graphing form, we will start by calculating ( b2)^2.
f(x)=x^2+5x-2We can see that b=5. Let's use this to calculate ( b2 )^2.
Let's now factor the function by completing the square. We will first add ( b2 )^2= ( 52)^2. Note that we also have to subtract ( 52)^2 to leave the function unchanged.
Now we know that the graphing form is (x+ 52)^2- 334, which can be also written as f(x)=(x-( - 52))^2+(- 334). The vertex of the parabola is ( - 52,- 334).
