SOLUTION: Consider the function y=2x^2 - 12x + 22. you are required to show the effect of of each of the values of "a", "k" and "c" for the form y = a(x-k)^2 + c)by drawing graphs starting w

Algebra ->  Graphs -> SOLUTION: Consider the function y=2x^2 - 12x + 22. you are required to show the effect of of each of the values of "a", "k" and "c" for the form y = a(x-k)^2 + c)by drawing graphs starting w      Log On


   

Question 1031388: Consider the function y=2x^2 - 12x + 22. you are required to show the effect of of each of the values of "a", "k" and "c" for the form y = a(x-k)^2 + c)by drawing graphs starting with y=x^2. This answer must include Algebraic manipulation to complete the square and change the form of the function. Four graphs including X62 on one set of axes to illustrate the effect of each of the values of the parameters "a,"k"and "c"
Answer by josgarithmetic(39617) About Me  (Show Source):
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You should examine this video for help or instruction how a solution to your exercise can work.
Changing quadratic equation from general form to standard form

Study a lesson about Completing The Square:
This lesson INCLUDES how to Complete the Square.

The way you have your standard form symbolized, the vertex would be the point (k,c). That then tells you about movement of the graph y=x%5E2 to y=a%28x-k%29%5E2%2Bc.

The effect of the coefficient 2 on the leading term is the stretch the graph vertically.


The equation for the function is y=2%28x-3%29%5E2%2B4, and the term used to complete the square was 9.

graph%28400%2C400%2C-1%2C10%2C-1%2C10%2C2x%5E2-12x%2B22%29