SOLUTION: Find the equation of a quadratic equation if the vertex is (-3, -2) and it passes through the point (-2, 0).

Question 254208: Find the equation of a quadratic equation if the vertex is (-3, -2) and it passes through the point (-2, 0).
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
vertex is (-3, -2) and it passes through the point (-2, 0)
All parabolas are symmetric, so the other point would be (-4,0).
We can create a quadratic model based on this using

(i)
(ii)
(iii)
eliminate the c from all 3 equations (i) -(ii) to get
(iv)
and (iii) - (ii) to get
(v)
multiply (iv) by -2 to get
(vi)
add (v) and (vi) to get
(vii)
* a = 2.
Sub -2 into a for (v) to get
* b = 12
Sub values of a and b into (i) to get
* c = 16
We get
y = 2x^2 + 12x + 16
RELATED QUESTIONS
Find the equation of the quadratic function whose graph passes through the point (-1,3) (answered by josmiceli)

Find the equation of the quadratic with vertex (-3,-5) that passes through the point... (answered by ewatrrr)

Find the equation of the quadratic curve with a turning point at (-2,3) and which passes... (answered by MathLover1,greenestamps)

Given the vertex of a parabola of (4, �8) that passes through the point (2, 20), what is... (answered by josgarithmetic,TeachMath)

a quadratic graph has maximum point (2,5) and passes through point (0,-3). Find the... (answered by Fombitz)

Write the equation of each quadratic relation in vertex form for a parabola that has a... (answered by josgarithmetic)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by Fombitz)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by MathLover1)

Find an equation of the parabola that has the indicated vertex and whose graph passes... (answered by FrankM)