Find a quadratic function that includes the set of values below: (0,5), (2,15), (4,9) The equation of the parabola is y = ___.

avissidep

avissidep

Answered question

2021-05-16

Find a quadratic function that includes the set of values below: (0,5), (2,15), (4,9)
The equation of the parabola is y = ___.

Answer & Explanation

Caren

Caren

Skilled2021-05-17Added 96 answers

Let y=ax^2+bx+c be the equation of the parabola. Set up equations.
Using (0,5). 5=a(0)2+b(0)+c
Using (2,15), 15=a(2)2+b(2)+5
4a+2b=10
2a+b=5
Using (4,9)
9=a(4)2+b(4)+5
16a+4b=4
4a+b=1
Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4
a=-2
Solve for b using (1): 2(-2)+b=5
-4+b=5
b=9
So, the equation is y=2x2+9x+5

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?