Find the maximum y value on the graph of y=f(x) if f(x)=-x^2+4x+1?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Do you know derivatives or the shape of this curve? If you plotted it, you could almost guess the solution. Because there is an x^2 term there, it will be a curve, not a straight line. This means it's "quadratic." There is a formula to solve quadratic equations. Do you know it? Because of the negative sign in front of the quadratic term (i.e. x^2), we know that the graph will point downward. If you plotted this, you'd see it. Now, if you used the quadratic formula, you'll see a term there that looks like -b/2a, this represents where the maximum will occur (which we call the vertex of the parabola).
Read this if you need more information or let me know if you have any questions so far:
Here is a graph of your function: http://www.wolframalpha.com/input/?i=-x^2%2B4x%2B1 and lot's of other useful information.