Question

Determine which of the following is a solution to y > -x2 + 4x - 6 by graphing.

Answer 1

@ganeshie8

Answer 2

@iPwnBunnies

Answer 3

A. (0, -6)
B. (0, 0)
C. (2, -3)
D. (3, -4)

Answer 4

So, if you graphed y = -x^2 +4x - 6, you'll get a parabola with a solid line. All the points of the function lie on the parabola.
y > -x^2 + 4x - 6 means that everything above the curve, not including the curve, is "shaded in"

Answer 5

So, one way to evaluate the given function at the each x-value in your choices. If the y-coordinate of the choices is greater than the value of the function, that will satisfy the inequality.

Answer 6

The graph roughly looks like this.