SOLUTION: Begin with the parent y = x� graph. Show how to transform it to graph the function below. y = -2(x + 1)� + 1

Question 941392: Begin with the parent y = x� graph. Show how to transform it to graph the
function below.
y = -2(x + 1)� + 1
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
start with:

now, multiply coefficient of by

flipped upside down ("reflected about the x-axis") and the parabola for grows twice as fast as , so its graph is "squeezed"
now add to and square it

as you can see entire graph is moved one unit to the left

now add to

as you can see entire graph is moved one unit up

so, in short the parent function graph was:
1. flipped upside down ("reflected about the x-axis") and squized
2. moved one unit to the left
3. moved one unit up

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