SOLUTION: 1) Given the vertex form of this quadratic equation complete the following tasks:
f(x)=(x+3)^2-2
a) If f(x) is shifted three units to the right, shifted up two units, and
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Question 1084313: 1) Given the vertex form of this quadratic equation complete the following tasks:
f(x)=(x+3)^2-2
a) If f(x) is shifted three units to the right, shifted up two units, and reflected vertically over the x-axis, what is the new function?
____________________________________
b) Graph the original parabola and the transformed parabola on the same coordinate graph.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The vertex is at (-3, -2); change the sign for the x and keep the same sign for the y.
shift it 3 units to the right and 2 units up, it is f(x)=x^2. The vertex is at the origin.
If it is reflected vertically over the x-axis, it is f(x)=-x^2.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
needs to be subtracted on the inside;that will a horizontal shift RIGHT unit,
and need to be added on the outside; this is a vertical shift UP units
This is a transformation on the basic function . If has the negative is on the outside of the function , like this , it means there is a reflection about the x-axis.
so, you will have:
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