Use the vertex (h,\ k) and a point on the

Mary Reyes

Mary Reyes

Answered question

2021-12-08

Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
(h, k)=(6, 1), (x, y)=(9, 8)

Answer & Explanation

Carl Swisher

Carl Swisher

Beginner2021-12-09Added 28 answers

Step 1 
Formula 
The quadratic function to use in this situation is
y=a(xh)2+k 
Step 2 
Replace the values
It is given that, 
h=6, k=1, x=9, y=8 
8=a(9(6))2+(1) 
8=a(9+6)218=a(9)1 
9=9a 
a=1 
Step 3 
Back substituting the value of a 
Substituting the values of h,k and a 
f(x)=a(xh)2+k 
f(x)=(x(6))21 
f(x)=(x+6)21 
f(x)=x2+12x+361 
f(x)=x2+12x+35

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