Question

The vertex of this parabola is at (-3, 6). Which of the following could be its equation?



A. y = -3(x + 3)2 + 6
B. y = -3(x + 3)2 - 6
C. y = -3(x - 3)2 + 6
D. y = -3(x - 3)2 - 6

Answer 1

Hello,

A is your answer

(-3,6) must be a point of the curve.

A) if x=-3 then y=-3(-3+3)²+6=6
y'=-3(x+3)=0==>x=-3
and y=6

B) if x=-3 then y=-3(-3+3)²-6=-6 and not 6
 
C) if x=-3 then y=-3(-3-3)²+6=-3*36+6= -102 and not 6

D) -3(-3-3)²-6=-3*36-6=-114

Answer 2

Based on the calculations, the equation of this parabola is equal to: A. y = -3(x + 3)² + 6.

How to determine the equation of a parabola?

Mathematically, the standard equation with the vertex for any parabola is given by:

y = a(x - h)² + k.

where:

• h and k are the vertex.

• a is a point.

Substituting the given parameters into the formula, we have;

y = -3(-3 - (-3))² + 6

y = -3(x + 3)² + 6

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