Question

. Write in vertex form y=2x^2+8x+10

Answer 1

Answer:

(-2,2)

hope this helps!!!

norton22aa

Step-by-step explanation:

Answer 2

Answer:

$y=2(x+2) ^ 2 + 2.$

Step-by-step explanation:

For a quadratic equation written in the general form $y=ax ^ 2 + bx + c$,

the x coordinate of its vertex is:

$x = -\frac{b}{2a} = h$

Then this equation written in the form of vertex is:

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

Where the point (h, k) is the vertex of the parabola.

In this case we have the equation

$y=2x^2+8x+10$

Then the x coordinate of its vertex is:

$x=-\frac{8}{2(2)}\\\\x= -2$

Therefore the y coordinate of its vertex is:

$f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2$

The vertice is (-2, 2)

Then

$h=-2\\\\k = 2$.

This equation written in the form of vertex is

$y=2(x+2) ^ 2 + 2.$