Question

Write the equation of the parabola in vertex form.

https://dlap.gradpoint.com/Resz/~0.b6oMF2UNomwyUA6.At-QF1WPR40fN6ZcMX3JMWO0JaCKG6vMRscjtIjg_ZA/7234256,D4A/Assets/questions/quiz/algebra_2/alg2part/alg2part_QuizQu8.png

Answer 1

@dude

Answer 2

Okay, do you know what the vertex is?

Answer 3

yes 0,4

Answer 4

Vertex form is \(y=a(x-h)^2+k\)
The vertex points would be (h, k)

Substitute what we know (\(\it(0,4)\))

Answer 5

y=a(x-0)^2+4

Answer 6

y=x^2+4?

Answer 7

Right, to find the value of a, we would substitute any point in for y and x

\(y=a(x-0)^2+4\)

Use (1,3)

\(3=a(1-0)^2+4\)

Now solve for A

Answer 8

Final equation should be
\(y=-(x-0)^2+4\)