SOLUTION: Determine the equation of a parabola with vertex (-2,-11) and point (-4,5)show answer in vertex form.

Algebra.Com
Question 974870: Determine the equation of a parabola with vertex (-2,-11) and point (-4,5)show answer in vertex form.
Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Standard Form Format, .

Knowing the vertex and a point for yours, solving for a will allow you to find its value. You already know that (h,k)=(-2,-11).








Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Determine the equation of a parabola with vertex (-2,-11) and point (-4,5)show answer in vertex form.
vertex form of equation : y=mx+b, m=slope, b=y-intercept
slope ∆y/∆x=(5-(-11))/(-4-(-2))=16/-2=-8
equation: y=-8x+b
solve for b using coordinates of given point (-4,5) on the curve
b=y+8x=5+8*-4=-27
equation=y=-8x-27
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Determine the equation of a parabola with vertex (-2,-11) and point (-4,5)show answer in vertex form.
Vertex form of a parabola: , which becomes: 







5 = 4a – 11

4a = 5 + 11

4a = 16

a = , or 4

Equation in vertex form:  

RELATED QUESTIONS


2.A parabola passes through the point (3, 5) on its way to the vertex at (7, 11).... (answered by josgarithmetic)

   
Write the equation of a parabola in vertex form with vertex (2, -2) and point (1,... (answered by lwsshak3)

A parabola has x-intercepts 3 and 7 and has vertex (5,2). Determine the equation of this... (answered by josgarithmetic,greenestamps)

   Suppose a parabola has vertex (5, –3) and also passes through the point (6, 1). Write... (answered by MathLover1)

a Parabola has a vertex (-1,5) and contains the point (2,-4). Write an equation of the... (answered by nerdybill)

determine the vertex form of the equation for the parabola that has a vertex at (-6,-2)... (answered by josgarithmetic)

Write the equation for the parabola with the given vertex and through the given point in... (answered by Fombitz)

How I write the equation of the parabola in vertex form:  vertex (-3,6) and point (1,-2)... (answered by josgarithmetic)

instructions: sketch a graph of the quadratic function with the given vertex and through... (answered by lwsshak3)