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The function his defined as follows.h(x) = 2x ^ 2 + 5If the graph of his translated vertically upward by 4 units, it becomes the graph of a function f.Find the expression for f(x)

The function his defined as followshx 2x 2 5If the graph of his translated vertically upward by 4 units it becomes the graph of a function fFind the expression class=

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Solution

Given that the function below

[tex]h(x)=2x^2+5[/tex]

The graph of h(x) is shown below

If the graph of h(x) is translated vertically upwards by 4 units to give the function f(x), the function f(x) will be

[tex]\begin{gathered} f(x)=2x^2+5+4=2x^2+9 \\ f(x)=2x^2+9 \end{gathered}[/tex]

Hence, the graph of f is

Hence, the expression for f(x) is

[tex]f(x)=2x^2+9[/tex]

Ver imagen AydeeS627195
Ver imagen AydeeS627195

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