SOLUTION: without graphing the parabola, describe the translation, reflections, and/or scaling that must be applied to y=x^2 to obtain the graph of each given function. 1. y=x^2+2x+2

Algebra ->  Rational-functions -> SOLUTION: without graphing the parabola, describe the translation, reflections, and/or scaling that must be applied to y=x^2 to obtain the graph of each given function. 1. y=x^2+2x+2       Log On


   

Question 926615: without graphing the parabola, describe the translation, reflections, and/or scaling that must be applied to y=x^2 to obtain the graph of each given function.
1. y=x^2+2x+2
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Difficult to know until you complete the square to put into standard form.

Use the value or number, (2/2)^2=1.

y=x%5E2%2B2x%2B1-1%2B2
y=%28x%2B1%29%5E2%2B1


x%5E2 was shifted 1 unit to the left and 1 unit upward.


Study the lesson http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev
http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%5E2%2B2x%2B2 ................c=2 is positive, the graph is translated 2 units up

y=%28x%5E2%2B2x%2B1%29-1%2B2
y=%28x%2B1%29%5E2-1%2B2 ........%28x%2B1%29%5E2 is that of x%5E2 shifted 1 units to the left


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+x%5E2%2B2x%2B2%29+