Start with f(x)=x2. A vertical translation up by 7 adds 7 to the output, so
g(x)=f(x)+7 = x2 + 7.
In the form a(x−h)2+k this is
g(x)=1(x−0)2+7, so a=1, h=0, k=7.
g(x) = (x−0)2 + 7 = x2 + 7
Find the quadratic g(x) formed by translating f(x)=x^2 up 7 units. Answer in vertex form a(x−h)^2+k with integer a, h, k.
Start with f(x)=x2. A vertical translation up by 7 adds 7 to the output, so
g(x)=f(x)+7 = x2 + 7.
In the form a(x−h)2+k this is
g(x)=1(x−0)2+7, so a=1, h=0, k=7.
g(x) = (x−0)2 + 7 = x2 + 7
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