Question

es kuta Software Infinite Alpebra 2 Nome Samantha atillas Vertex Form of Parabolas Use the information provided to write the vertex form equation of each puble 23-25 1) + 16 + 71 CA

Answer 1

We are given the following equation:

$y=2x^2+36x+170$

To transform this to vertex form we will first take 2 as a common factor:

$y=2(x^2+18x+85)$

Now we will rewrite the expression inside the parenthesis as:

$y=2(x^2+18x+81+4)$

Now we assotiate terms:

$y=2((x^2+18x+81)+4)$

Factoring the expression inside the parenthesis:

$y=2((x+9)^2+4)$

Using the distributive property:

$y=2(x+9)^2+8$

And thus we get the equation in vertex form.