Question

The vertex of the parabola is at the point (2,-5). which of the equations below could be the one for this parabola?

Answer 1

Hello,
Answer is Dsince y=k(x-2)²-5  and if k=1 ==>D.

Answer 2

Answer:

The correct option is D. $y=(x-2)^{2}-5$

Step-by-step explanation:

If the vertex V of the parabola has the following coordinates :

$V=(xV,yV)$

One way to write the equation of the parabola is :

$y=a(x-xV)^{2}+yV$

Where xV and yV are the coordinates from the vertex of the parabola and ''a'' is a real number.

If $a>0$ ⇒ The parabola is concave upward

If $a$ ⇒ The parabola is concave downward

In this exercise

$V=(xV,yV)=(2,-5)$ ⇒

One way to write this parabola is

$y=a(x-2)^{2}-5$

The graph of the parabola is concave upward ⇒$a>0$

The option D. is

$y=1(x-2)^{2}-5$ Where $a=1$ and $1>0$ ⇒

The correct option is D.