SOLUTION: Kindly help me with parabola question.the x and y intercept of a quadratic function in the form y=a(x-h)^2+k are (2,0),(-4,0)(0,16).solve for a,h and k.

Question 933106: Kindly help me with parabola question.the x and y intercept of a quadratic function in the form y=a(x-h)^2+k
are (2,0),(-4,0)(0,16).solve for a,h and k.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
,Vertex Form, where and y-coordinate of the vertex, and is x-coordinate of the vertex
vertex is at (h, k)
given points:
(,),----> x-intercept
(,)----> x-intercept
(,)-> since , this is y-intercept and , then vertex is at (h, 16)
since
Vertex:
coordinate of vertex is and the x-coordinate of the vertex is halfway between the x-coordinates of the x-intercepts which is the distance from to divided by :
then
so, we know that and ; so, the coordinate of the vertex are (,)
now find using one of given points and vertex

...use (,)-> since , this is

so, our equation is:

RELATED QUESTIONS
Write the equation for the parabola in the form y=a(x-h)^2 +k with a... (answered by scott8148)

Determine the quadratic function with the given information. Given: vertex (3,-7) and... (answered by josgarithmetic,MathTherapy)

Please help me with this question. Write the quadratic function in the form y=a(x-h)... (answered by stanbon,tinbar)

Could someone help me with the following problem? Problem : A quadratic funtion... (answered by jim_thompson5910)

find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15). use... (answered by Fombitz,Boreal)

Could someone please help me with writing a conic equation in standard form? The... (answered by josgarithmetic,Natolino1983)

Use the quadratic formula to determine the x-intercepts (if any) of the following... (answered by Earlsdon)

Please help me solve this equation Let f(x) = 2x^2 − 8x − 7. (a) Write... (answered by josgarithmetic,MathTherapy)

Write an equation in the form y = a(x � h)2 + k for a parabola with focus (0, 5) and... (answered by lwsshak3)