Question

The vertex of this parabola is at (-2, 5). Which of the following could be it’s equation? A. Y=3(x+2)^2-5 B. Y=3(x-2)^2-5 C. Y=3(x+2)^2+5 D. Y=3(x-2)^2+5

Answer 1

Answer:  C. $y=3(x+2)^{2} +5$

Step-by-step explanation:

1. You have the following equation of the parabola in Vertex form:

$y=a(x-h)^{2}+k$

Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.

2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:

$y=3(x+2)^{2}+5$

3. Therefore, the answer is the option C.

Answer 2

Answer: y= 3(x+2)^2+5

Step-by-step explanation: