f defined by fx5x21 If the graph of the function f defined b

f defined by f(x)=5x2+1

If the graph of the function

f defined by f(x)=5x2+1

is translated vertically upward by 9 units, it becomes the graph of a function h
Find the expression for h(x)
.

Solution

f(x) = - 5x^2 + 1

translated vertically upward by 9 units

if graph of f(x) is translated vertically upward by a units then it becomes

f(x) + a

therefore, - 5x^2 + 1 when tracnslated 9 units upwards it becomes

h(x) = (-5x^2 + 1) + 9

h(x) = -5x^2 + 10

f defined by f(x)=5x2+1 If the graph of the function f defined by f(x)=5x2+1 is translated vertically upward by 9 units, it becomes the graph of a function h Fi

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