Posted by **priya ** on Wednesday, November 3, 2010 at 11:54pm.

A quadratic function is defined by

f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

- math grade 11 -
**Bosnian**, Thursday, November 4, 2010 at 2:40am
Slope of any function is first derivate of that function.

Quadratic function in your case have first dervate:

3*2*x+4=6*x+4

Linear function in your case have first dervate:

m

Line will be tangent of quadratic parabola when first derivates is egual.

m=6*x+4

m*x-5=(6*x+4)*x-5=6*x^2+4*x-5

3*x^2+4*x-2=6*x^2+4*x-5

3*x^2+4*x-6*x^2-4*x=-5+2

-3*x^2=-3 Multiply with (-1)

3*x^2=3 Divided with 3

x^2=1

x=+OR-(1)

x1=-1 , x2=1

Slope for x1=6*x1+4=6*(-1)+4=-6+4=-2

Slope for x2=6*1+4=6+4=10

S1=-2 S2=10

## Answer This Question

## Related Questions

- math grade 11 - A quadratic function is defined by f(x)= 3x^2+4x-2. A linear ...
- Algebra - Can you please help me with the following problems? Find the ...
- Algebra Problems - Please check my answers. Find the coordinates of the vertex ...
- Algebra - Please check my answers. Find the coordinates of the vertex for the ...
- Algebra - Please check my answers. Find the coordinates of the vertex for the ...
- Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
- Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
- cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
- math help!!! - stuck!! pls help/explain!!! 2. Do the values in the table ...
- graphing - Q: How could the function y=3t^2 +4 be plotted on a cartesian graph ...

More Related Questions