SOLUTION: a.) Write the equation below in factored form and identify its x-intercepts. y=x^2+12x+35 b.) Now write the equation in vertex form. c.)now sketch the graph

Question 968373: a.) Write the equation below in factored form and identify its x-intercepts.
y=x^2+12x+35
b.) Now write the equation in vertex form.
c.)now sketch the graph
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
(a):

Factorize the right-hand member and you have the factored form.
;
You also see directly from this that the roots are -5 and -7.

(b):

Complete the Square for the quadratic right-hand expression. See your textbook's lesson on this or study the lesson available here: http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev.

Your term to use is .

You can compare how the two forms of equation appear. The standard form, found after completing the square, lets you read the vertex directly from the equation. Vertex is a minimum, at (-6,-1).

Graph the equation?
You have the vertex, you know it is a minimum, and you have the two roots. You can graph this.
RELATED QUESTIONS
Write the quadratic equation below in standard form. Identify the value of a,b, and c. (answered by Fombitz)

Write the quadriatic equation below in standard form. Identify the value of a, b, and c. (answered by amarjeeth123,josgarithmetic,MathTherapy)

Write the quadratic equation below in standard form. Identify the value of a,b, and c. (answered by stanbon)

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

Classify the conic section and write its equation in standard form. x^2 + y^2 - 12x +... (answered by jillfired)

Write the equation x+1/3y in general form and identify A, B, and... (answered by Alan3354)

Write the equation x=1/3y in general form and identify A, B and... (answered by Alan3354)

Write the quadratic equation below in standard form. Identify the value of a, b, c.... (answered by amarjeeth123)

For each of the ff. quadratic equations, (a) identify the conic section represented (b)... (answered by khwang)