Question
Asked Mar 10, 2019
710 views

Find an equation of the parabola y = ax2 + bx + c that passes through (0,1) and is tangent to the line y = x-1 at (1,0).

check_circle

Expert Answer

Step 1

Since, the parabola passes through (0,1) ,so,we substitute x=0, y=1 ,to get c=1

fullscreen
Step 2

Now, it is given the parabola also passes through (1,0) and the slope of tangent  at (1,0) is 1, Using these two conditions, we get two equations

fullscreen
Step 3

By subtracting the two equations , we get value of a, then by subs...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: An important question about many functions concerns the existence and location of fixed points.  A f...

A: Given functions are f(x) = 17x cos x  and f(x)=x. We graph them first and find where do they meet on...

question_answer

Q: This is solving the 2nd derivative of f(x) = x^2/ 1+e^x, and we have already obtained the 1st deriva...

A: The given function is,

question_answer

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3. 

question_answer

Q: could you help me with this problem please

A: Given,

question_answer

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost  

question_answer

Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=...

A: It is given that rate at which the blood pressure decreases in the normal adult is dp/dt=–46.645e–0....

question_answer

Q: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

question_answer

Q: c. Find the area of the reqion bounded by y xe-a and the x-axis on the interval 0,bl. Because this a...

A: Given curve is The area of the region bound by the curve and x-axis on the interval [0,b] is given b...

question_answer

Q: Help with #8

A: Let's understand the formula for calculation of curvature.For a function, y(x) the curvature is give...