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).

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: