SOLUTION: Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes through the point (5, -9).
Algebra.Com
Question 527323: Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes through the point (5, -9).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes through the point (5, -9).
**
Second degree equations are parabolas, so write it as a standard form of an equation for a parabola since the vertex is given:
..
y=A(x-h)^2+k=A(x-3)^2+7
Use given point (5,-9) to solve for A
-9=A(5-3)^2+7=4A+7
4A=-16
A=-4
Equation of Parabola: y=-4(x-3)^2+7
=-4(x^2-6x+9)+7=-4x^2+24x-36+7
ans:
f(x)=-4x^2+24x-29
RELATED QUESTIONS
Determine the quadratic function,F(x)=a^2+bx+c , whose vertex is (3, 7) and passes... (answered by KMST)
Determine the quadratic function, f(x) = ax^2 + bx + c, whose vertex is (1, 8) and passes (answered by AnlytcPhil)
Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1).... (answered by lwsshak3)
determine the quadratic function f whose vertex is (2,-4) and passes through (1,-2)... (answered by reviewermath,DrBeeee)
determine the quadratic function of f whose vertex is (4,3) and passes through
(3,1)... (answered by nerdybill)
4. Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes... (answered by solver91311)
4. Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes... (answered by stanbon)
determine the quadratic function F
vertex is (1, -1)
given point is (3, 7)
type... (answered by josgarithmetic)
Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).... (answered by lwsshak3)