SOLUTION: HI can someone please help me out with this question? you don't have to answer everything if you don't want to. anything helps. thank you so much A quadratic function is defined b

Question 1090556: HI can someone please help me out with this question? you don't have to answer everything if you don't want to. anything helps. thank you so much
A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x) = �0.5x + k.
a) Determine the A quadratic function is defined by . A linear function is defined by g(x) = �0.5x + k. value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth
b)Determine the values of k so that the line intersects the parabola at two points.
c) Determine the values of k so that the line never intersects the parabola.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Set the two functions equal to each other to find where they intersect. You end up with a quadratic function that involves the parameter k.

You want the parabola and the line to intersect at exactly one point. That means you want this quadratic equation to have a single solution. It has a single solution when the discriminant in the quadratic formula,

is equal to 0. So solve for k:

I will let you finish that part... since you said it was okay if I didn't answer everything. Besides, you will learn more from this if you do some of the work yourself.

Then answering the other two questions is easy.

Since k is the y-intercept of the linear function, and since the parabola opens downward, any value of k smaller than the one that gives a single intersection point will give 2 intersection points, and any value larger will give 0 intersection points.
RELATED QUESTIONS
Can I please get some help with this. 4 pts) For each of the following conditionals, (answered by stanbon)

Polynomials 1. 18x + 6x + 26x = __________ 2. - 19x + 7 + 15x + 11 = __________ 3. (5x (answered by josgarithmetic)

I don't under stand how to make a rectangular coordinate graph with 3y+6=-x. Can you... (answered by josgarithmetic)

I am having a lot of trouble with word problem questions. If someone could help me that... (answered by Edwin McCravy)

Can you help me with this problem. I don't know how to solve it.... (answered by CubeyThePenguin)

Hi, please help me out with this question. It is very confusing and I don't know how to... (answered by ikleyn,Theo)

For what values of t can 10x^2+tx+8 be written as the product of two binomials? I... (answered by ikleyn)

Hello night owls, if anyone can help me with this, I would be so grateful. I really want (answered by josgarithmetic)

This question is pretty simple but i honestly don't understand it. A runner leaves... (answered by ikleyn)