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kykrilka [37]
3 years ago
14

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

Mathematics
2 answers:
timofeeve [1]3 years ago
7 0
Hello,
Answer is Dsince y=k(x-2)²-5  and if k=1 ==>D.

Elodia [21]3 years ago
6 0

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.

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