The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of

Question

Anvisha [2.4K]

3 years ago

5

The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of

a, b, and c.

Mathematics

1 answer:

Arada [10] · Answer 1 · 2022-01-24T06:52:07+03:00

We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.