SOLUTION: Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k

Question 548276: Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k
**
y= a(x-h)^2 + k
y= a(x+1)^2 + 3
plug in coordinates of given point (-2,1) to find a
1= a(-2+1)^2 + 3
1= a(-1)^2 + 3
1= a + 3
a=-2
Equation:
y= -2(x+1)^2 + 3
see graph below:

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