Write the quadratic function in the form f(x)= a(x-h)^2+k.
Graphed Vertical parabola with the point (2,1).
Write the answer in f(x)=.
2 answers
not enough data
Roots:
X=2 X=1
Sum of the roots= 3
Product of the roots= 2
Always assume a=1.
b is always the opposite sign
1x^2-3x+2=0
a=1 b=-3 c=2
Axis of symmetry=-b/2a
So that’s 3/2(1) which equals 3/2
We plug the axis of symmetry which is going to equal x (or in this case, h) into our quadratic equation to find f(x), which is also y and k.
Y=(3/2)^2-3(3/2)+2
Y= 9/4-9/2+3
Y=3/4
So now we know that k=3/4
1(x-3/2)^2+3/4
X=2 X=1
Sum of the roots= 3
Product of the roots= 2
Always assume a=1.
b is always the opposite sign
1x^2-3x+2=0
a=1 b=-3 c=2
Axis of symmetry=-b/2a
So that’s 3/2(1) which equals 3/2
We plug the axis of symmetry which is going to equal x (or in this case, h) into our quadratic equation to find f(x), which is also y and k.
Y=(3/2)^2-3(3/2)+2
Y= 9/4-9/2+3
Y=3/4
So now we know that k=3/4
1(x-3/2)^2+3/4
1 answer