SOLUTION: the following have graphs that are transformations of y=x^2. foe each give the transformation in the number of units right or left, and numbers up and down. 1. f(x)=x^2-6x+12 2.

Algebra ->  Graphs -> SOLUTION: the following have graphs that are transformations of y=x^2. foe each give the transformation in the number of units right or left, and numbers up and down. 1. f(x)=x^2-6x+12 2.      Log On


   

Question 1156860: the following have graphs that are transformations of y=x^2. foe each give the transformation in the number of units right or left, and numbers up and down.
1. f(x)=x^2-6x+12
2. f(x)=x^2+2x-4.
3. f(x)=x^2-2x+10
4. f(x)=x^2+12x+48
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the following have graphs that are transformations of y=x%5E2. foe each give the transformation in the number of units right or left, and numbers up and down.

1.
f%28x%29=x%5E2-6x%2B12
f%28x%29=%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B12
f%28x%29=%28x%5E2-6x%2B3%5E2%29-3%5E2%2B12
f%28x%29=%28x-3%29%5E2-9%2B12
f%28x%29=%28x+-+3%29%5E2+%2B+3+
horizontal shift 3 units right, vertical shift 3 units up

+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x+-+3%29%5E2+%2B+3%29+

2.

f%28x%29=x%5E2%2B2x-4
f%28x%29=x%5E2%2B2x-2%5E2
f%28x%29=%28x-2%29%5E2
horizontal shift 2 units right
+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-2%29%5E2%29+

3.
+f%28x%29=x%5E2-2x%2B10
+f%28x%29=%28x%5E2-2x%2Bb%5E2%29-b%5E2%2B10
f%28x%29=%28x%5E2-2x%2B1%5E2%29-1%5E2%2B10
f%28x%29=%28x-1%29%5E2%2B9
horizontal shift 1 unit right, vertical shift 9 units up

+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-1%29%5E2%2B9%29+
4.
f%28x%29=x%5E2%2B12x%2B48
+f%28x%29=%28x%5E2%2B12x%2Bb%5E2%29-b%5E2%2B48
f%28x%29=%28x%5E2%2B12x%2B6%5E2%29-6%5E2%2B48
f%28x%29=%28x%2B6%29%5E2-36%2B48
f%28x%29=%28x%2B6%29%5E2%2B12
horizontal shift 6 unit left, vertical shift 12 units up
+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+20%2C+x%5E2%2C+%28x%2B6%29%5E2%2B12%29+