Determine the open intervals on which the graph of f(x) = -7x^2 + 8x + 1 is concave downward or concave upward.

The second derivative is just -14, so I don't know what to do with that.

1 answer

Ok, so the second derivative is negative and you know that if the 2nd derivative is negative the function is concave downwards.

Of course you should recognize that we are dealing with a quadratic function, a parabola, which opens downwards for all values of x