Posted by **Ifi** on Sunday, October 28, 2012 at 10:55am.

If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of tangent line to the parabola

y=3x^2-5x at the point (2,2).

My ans is f'(2)=7 & y=7x-12.

What is parabola exactly? & is the any possibility if the eqtn of f(x) is not the same with parabola eqtn? If yes, how to calculate the tangent equation ? Can u give any clue or tips or keywords for answering this kind of question....

- Math -
**Steve**, Sunday, October 28, 2012 at 12:07pm
excuse me? You're in calculus, and don't know what a parabola is?

Regardless, just work with the math.

y'(x) = 6x-5

y'(2) = 7

y(2) = 2

So, you want the equation of the line passing through (2,2) with slope 7:

(y-2) = 7(x-2)

Your answer is correct.

Any quadratic equation represents a parabola. Go to wolfram and type in some quadratic functions. You will see that they are all parabolas.

## Answer this Question

## Related Questions

- Math - Let f(x) be the parabola -x^2+16x-16. find the point (x,y) on f such that...
- math - Consider the parabola y = 7x - x2. (a) Find the slope of the tangent line...
- precalculus - graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7...
- math - The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point...
- Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
- calculus - The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at ...
- Parabola Ques - Find the point P on the parabola y^2 = 4ax such that area ...
- Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...
- math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
- math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...