determine the equation of g(x)that result from translating the function f(x)=x^2+5 upward 7 units

Question

Try to solve the following problem listed above but having difficult answering this question . Need to find out the correct steps to take to begin to solve ,

Answer 1

Hello Lisa,

 

In quadratics, the parent equation is

f(x)=x²

 

and translations can be expressed as

f(x)=(x-h)²+k

Where the vertex of the parabola is moved to the coordinates (h,k)

 

In f(x)=x²+5 we can see that the vertex is at (0,5).  Translated 7 units up, it will become (0,5+7) = (0,12).  So our next equation will be

 

f(x)=x²+12