SOLUTION: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 )

Question 154998: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k.
Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 ).
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(h,k)=(2,1) (x,y)=(5,2)
y=a(x-h)^2+k
2=a(5-2)^2+1
2=9a+1
9a=1
a=1/9
y=(1/9)(x-2)^2+1
=(1/9)(x^2-4x+4)+1
=(x^2/9)-(4x/9)+(13/9)
As you can see from the graph below the graph fulfills the criteria.
.
Ed
.

RELATED QUESTIONS
The Directions state: Write the equation of the quadratic function in standard form y = a (answered by edjones)

Write the equation of the quadratic function in standard form y=a(x-h)^2+k 1. Given... (answered by stanbon)

1. This equation is given in vertex form, write it in standard form. f(x)= -(3/4)(x+2)^2 (answered by josgarithmetic)

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

1. Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by stanbon)

Put the function 2x^2+12x+3 in vertex form and state the values of a,h, and k. vertex... (answered by josgarithmetic)

Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept... (answered by Fombitz)

Hi Can I have some help concerning functions? A quadratic function is given. f(x) =... (answered by jim_thompson5910)

Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the... (answered by MathLover1)