From the graph of a quadratic equation, you can find:
The roots. These are the points where the graph crosses the x-axis, and is the solution of the quadratic equation when y=0. Usually, there are either two or zero.
The coefficient of the leading term. In the quadratic equation y= ax^2 + bx + c,
the parabola points upward if a is positive, and downward if a is negative.
The vertex. You can find the vertex, or where the two sides of the parabola meet, by looking at the graph.
I've got three photos for the answers but they don't include 31 or 32.
To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula
to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get
. This square root can be rounded to 9.9 miles.
Your answer would be -9 & -42.
Here's why ...
(-9)*(-42) A negative times a negative equals a positive (378).
Now, -9-42=-51 & you add these because you have two negatives.
Hope this makes sense & helps you ! (: