SOLUTION: The vertex of this parabola is at (3, -2). When the x-value is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola's equation?

Question 533288: The vertex of this parabola is at (3, -2). When the x-value is 4, the
y-value is 3. What is the coefficient of the squared expression in the parabola's equation?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The vertex of this parabola is at (3, -2). When the x-value is 4, the
y-value is 3. What is the coefficient of the squared expression in the parabola's equation?
**
Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
For given problem:
y=A(x-3)^2-2
using (x,y) coordinates of given point (4,3) to solve for A
3=A(4-3)^2-2
3=A(1)-2
A=5
Equation of parabola:
y=5(x-3)^2-2
ans:
The coefficient of the squared expression=A=5
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