write in vertex form y=2x^2+8x+10

Step-by-step explanation:

For a quadratic equation written in the general form ,

the x coordinate of its vertex is:

Then this equation written in the form of vertex is:

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

In this case we have the equation

Then the x coordinate of its vertex is:

Therefore the y coordinate of its vertex is:

The vertice is (-2, 2)

Then

.

This equation written in the form of vertex is

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the forst and 3rd

step-by-step explanation: