SOLUTION: write the quadratic function in vertex form: y=2x^2+11x+8

Question 549192: write the quadratic function in vertex form:
y=2x^2+11x+8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

Factor out the coefficient . This step is very important: the coefficient must be equal to 1.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract inside the parenthesis. Make sure to place this after the "x" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

Distribute.

Multiply.

So after completing the square, transforms to . So .

So is equivalent to which is the answer in vertex form.

RELATED QUESTIONS
Complete the square to write the quadratic function in vertex form. y = x^2 + 8x +... (answered by erica65404)

Write the quadratic function in vertex form y = x^2 + 4x (answered by robertb)

Write the quadratic function in vertex form. y = x^2 + 16x +... (answered by algebrahouse.com,greenestamps)

Write the quadratic function in vertex form. y = x^2 + 16x +... (answered by josgarithmetic)

Write the quadratic function in vertex form and then find the vertex: y=x^2+4x+7... (answered by Alan3354)

Write the quadratic function in standard form and find the vertex.... (answered by Boreal)

1. This equation is given in vertex form, write it in standard form. f(x)= -(3/4)(x+2)^2 (answered by josgarithmetic)

Write the quadratic equation function in vertex form and then identify the vertex 1.... (answered by lwsshak3)

Write the quadratic equation in vertex form. What is the vertex?... (answered by MathLover1,stanbon)