SOLUTION: Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares” to convert the quadratic function into vertex form b. State the vertex c. Find the x- a

Algebra.Com
Question 1064208: Given the quadratic function f(x) = -2x2 - 12x - 10
a. Use “completing the squares” to convert the quadratic function into vertex form
b. State the vertex
c. Find the x- and y-intercepts
d. Graph the function

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

The term to complete the square is 9. Do this inside the parentheses.





Vertex is (-3,2).
Vertex is (-3,8).

Find x intercepts using ,;

Find any y intercepts by evaluating .


EDITED GRAPH; FIXED ARITHMETIC MISTAKE

Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
 =  =   =  = .

Vertex is  (-3,8).


Find x-intercepts using   = . They are x= -5 and x= -1.


Find y-intercepts by evaluating  = -10.





Calculations by "josgarithmetic" are wrong.

Plot by "josgarithmetic" is wrong.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Given the quadratic function f(x) = -2x2 - 12x - 10
a. Use “completing the squares” to convert the quadratic function into vertex form
b. State the vertex
c. Find the x- and y-intercepts
d. Graph the function
Correct answer: Equation is: , after completing the square, so: 
After using a method your choice, you should get:
RELATED QUESTIONS

Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares” to... (answered by josgarithmetic)
Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares” to... (answered by Boreal)
Use “completing the squares” to convert the quadratic function into vertex form Given... (answered by ikleyn)
Given the quadratic function f(x) = 2x2– 8x + 11 Use “completing the squares” to... (answered by ikleyn,greenestamps)
4. Describe the transformations applied to f(x)=x2 to produce the function... (answered by MathLover1,math_tutor2020)
Please help me solve by completing the square f(x) = 2x2 + 12x + 15 State the... (answered by Edwin McCravy)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9. (answered by Alan3354)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9. (answered by edjones)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) =... (answered by stanbon)