Mathematics OpenStudy (anonymous):

Find the slope of the tangent line to the parabola y = 4 x^2 + 2 x + 7 at x0 = -2 OpenStudy (anonymous):

(The tangent line to a curve at a point is the line passing through that point whose slope is the same as the slope of the curve at that point.) OpenStudy (anonymous):

The equation of this tangent line can be written in the form y - y0 = m(x - x0) where y0 is: ?? OpenStudy (anonymous):

the slope of the tangent line is the first derivative of the parabola which is 8x+2, so m= 8 OpenStudy (anonymous):

yes, I figured out that the tangent line is: 8x + 2, which I obtained by taking the derivative of the parabola. Plugging in x0 = -2 into 8x+2 we get -14, which is the answer to the first part. I just don't know what y0 equals in y - y0 = m(x - x0). I suspect this to be correct: y - y0 = 8(x+2), but I don't know how to proceed. Can I just plug in arbitrary values of x and y to get y0? OpenStudy (anonymous):

Yes, the slope of the tangent line is m = f ' (-2) = -14 as you found. y0 is just notation representing f(x0). So y0 = f(-2) = 19 for your problem. The tangent line is then y = 19 -14(x+2). Note that I moved the y0 over to the right side of the equation (personal preference on my part....). OpenStudy (anonymous):

Ok, thanks!!! :)

Latest Questions emaniscool35: yall like cfood?
4 seconds ago 1 Reply 0 Medals Imagine: SO CLOSE TO LEVEL 50, I KNOW IT'S EARLY BUT WHAT DO YOU WANT FOR CRISTMAS?
14 seconds ago 0 Replies 0 Medals Hash24: are you a furry
35 seconds ago 7 Replies 0 Medals RicotheGanster: The Atlantic Cod is a common fish of the Atlantic Ocean that must drink sea water to meet it's water needs.
1 minute ago 0 Replies 0 Medals emaniscool35: why
1 minute ago 9 Replies 2 Medals emaniscool35: \\
5 minutes ago 3 Replies 2 Medals ZombieSlayer: .
4 minutes ago 4 Replies 0 Medals Jaqueline: Nick is studying the triangle sum theorem in his geometry class. The triangle sum theorem states that the sum the measures of the angles of a triangle is 18
1 minute ago 5 Replies 1 Medal ZombieSlayer: /
3 minutes ago 13 Replies 2 Medals payton: Maya had \$27. She spent all the money buying three burgers for x dollars each and two sandwiches for y dollars each.
7 minutes ago 5 Replies 3 Medals