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Select the correct answer from each drop-down menu.
Consider the equations below.
A. y=-2x^2-8x
B. y=2(x+6)(x-2)
C. y=x^2-8x+16
D. y=2(x+4)^2-2
Use the equations to complete the following statements.

Equation (A,B,C, or D) reveals its extreme value without needing to be altered. The extreme value of this equation has a (minimum or maximum) at the point (-4,-3,0 or 2 , -32,-8,8, or -2 ).

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Answer:

Step-by-step explanation:

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From each of the given equations, the option which gives a squared expression for the variable with x ; hence does not need any further mathematical calculation in other to determine it's extremes is the expression y = 2(x+4)² - 2 ; option (D) with minimum at the points (-4, - 2)

The extreme vlaue of an expression has a minimum at ;

Obtain the value of x when (x + 4) = 0:

  • x + 4 = 0

x = - 4

Substitute - 4 into the equation :

y = 2(-4 + 4)² - 2

2(0) - 2 = - 2

Therefore, the equation has its extremes at (-4, - 2)

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