Re-write the quadratic function below in Standard Form

y = - 3 (x - 4) (x - 4)

y=-x²+8x+16

Step-by-step explanation:

y = - 3 (x - 4) (x - 4)

We multiply

y = (-3x+12) (x-4)

Expand the bracket

y = x (-3x+12) - 4 (-3x+12)

y=-3x²+12x

-4 (-3x+12)

+12x+48

y=-3x²+24x+48

Divide by 3

y=-x²+8x+16

y = - 3 (x - 4) ^2

Step-by-step explanation:

y = - 3 (x - 4) (x - 4)

To rewrite the above equation in standard form, we need to carefully observe the equation to see if we can square any of the variable without uttering the equation. This is illustrated below:

y = - 3 (x - 4) (x - 4)

From the above equation, we have the same entities on both brackets. Thus, we can rewrite it as follow:

y = - 3 (x - 4) ^2

Now the equation is expressed in standard form.