Which of the following equations is of a parabola with a vertex at (0, -5)? 1. y = x2 - 5
2. y = x2 + 5
3. y = ( x + 5) 2
4. y = ( x - 5) 2

The equation that has a vertex in (0, -5) is the first one.

Step-by-step explanation:

A standard form second degree equation is given by the following expression:

For which the vertex coordinates can be calculated by:

While "y" for the vertex can be found by applying this coordinate on the expression. Using this knowledge in each equation gives us:

1.

Therefore the vertex coordinate is:

This parabola has a vertex in (0,-5).

2.

Therefore the vertex coordinate is:

This parabola has a vertex in (0,5).

3.

Therefore the vertex coordinate is:

This parabola has a vertex in (-5,0).

4.

Therefore the vertex coordinate is:

This parabola has a vertex in (5,0).

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.