What can be used to show the difference in variation for two populations that have equivalent measures of center?

A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 inches wide and 6 inches

Strike441 [17]

The answer is a.
When you are solving problems like this you would use the equation y^2=4ax. The x and Y would be the coordinates. Based on the equation you have given the coordinates would be (6,12) and (6,-12), (24 is split up evenly between the y-axis).
Then we go on to solve the equation by plugging in the numbers 12^2=4a(6)
144=24a
144/24=24a/24
6=a

5 0

3 years ago

I dont understand this, can i get some help please

Ray Of Light [21]

When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at $x=1.$

The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is $(1,0).$

For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is $(0,1).$

Using this information, the vertex-form equation of the parabola is $y=1\cdot(x-1)^2+0,$ so the factors are two copies of $x-1.$ In this case, the value of $a$ in the equation $y=a(x-h)^2+k$ was conveniently 1; if that's not the case, you'll want to plug in $x=0$ to solve for the value of a that gives the correct y-intercept.