Consider the equation below. y=3x^2+30x+71 use completing the square to rewrite the given equation and reveal the extreme value y=3(x+blank)^2+blank the extreme value of the equation is at (blank, blank)

Equation in square form:

Extreme value:

Step-by-step explanation:

We are given

we can complete square

we can use formula

now, we can add and subtract 5^2

So, we get equation as

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

where

vertex=(h,k)

now, we can compare and find h and k

we get

h=-5

k=-4

so, extreme value of this equation is

Top row: reveal extreme value 5 , -4

Bottom row: extreme value -5, -4

Step-by-step explanation:

where is the picture

step-by-step explanation: