y equals -5x squared + 12
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This graph is an upside down parabola starting at the vertex of (0, 12)
In order to find the vertex, we start with the equation -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. This would make a = -5 and b = 0.
-b/2a
-0/2(-5)
0/-10
0
This gives us the x value of 0. Now we can use that to find the y value in the equation.
y = -5x^2 + 12
y = -5(0)^2 + 12
y = -5(0) + 12
y = 0 + 12
y = 12
Now, we have the vertex of (0, 12). We can also tell that the parabola points down given the fact that there is a negative first coefficient (-5)