SOLUTION: the parabola y=ax^2+bx+c passes through the points (0,4),(2,20) and (10,4). If (3,m) is on the parabola, find m.
Algebra.Com
Question 999807: the parabola y=ax^2+bx+c passes through the points (0,4),(2,20) and (10,4). If (3,m) is on the parabola, find m.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
so if (0,4) is an element of the solution set, then
^2\ +\ b(0)\ +\ c)
Which is to say 
Then if (2, 20) is an element of the solution set, then
^2\ +\ b(2)\ +\ 4)
Which is to say 
Then if (10,4) is an element of the solution set, then:
^2\ +\ b(10)\ +\ 4)
Which is to say 
Solve the 2X2 system of linear equations to find the coefficients 
and 
. Then, when you have your fully-qualified polynomial, you can evaluate )
to find 
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Find the equation of the parabola {{{ y = ax^2 + bx + c }}} that passes through the... (answered by josgarithmetic)
A parabola y = ax^2 + bx + c has vertex (4, 2). If (2, 0) is on the parabola, then find... (answered by Fombitz)
The parabola y = ax^2 + bx + c is graphed below. Find a+b+c. (The grid lines are one... (answered by asinus)
The parabola y = ax^2 + bx + c is graphed below. Find a \cdot b \cdot c. (The grid... (answered by greenestamps,mccravyedwin)
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points... (answered by MathLover1)
Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points... (answered by Fombitz)
Find an equation of the parabola of the form y=ax^2+bx+c that passes through the... (answered by mananth,MathLover1,ikleyn)
Find an question in the form y=ax^2+bx+c for the parabola passing through the points.... (answered by TimothyLamb)
Find an equation of the parabola of the form y=ax^2+bx+c that passes through the... (answered by ikleyn)