Asked by Rachel
Write the quadratic function (or one possible quadratic function) in vertex or standard form, from the following information
zeros at (-2,0) and (3,0), AND OPENING UPWARD
Find the vertex
thank you very much
zeros at (-2,0) and (3,0), AND OPENING UPWARD
Find the vertex
thank you very much
Answers
Answered by
oobleck
the zeroes tell you that
y = a(x+2)(x-3)
the simplest one would be
y = (x+2)(x-3) = x^2 - x - 6
for vertex form, complete the square
x^2 - x + 1/4 - 6 - 1/4 = (x - 1/2)^2 - 25/4
or, since the vertex is midway between the roots, find y(1/2)
y = a(x+2)(x-3)
the simplest one would be
y = (x+2)(x-3) = x^2 - x - 6
for vertex form, complete the square
x^2 - x + 1/4 - 6 - 1/4 = (x - 1/2)^2 - 25/4
or, since the vertex is midway between the roots, find y(1/2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.