If f x - e x - g x - e x -1 and h x - e x -1- then which of the following is-are correct-A- If we shift the graph of f x by 1 unit upward- we get the graph of h x B- If we shift the graph of f x by 1 unit upward- we get the graph of g x C- If we shift the graph of fx by 1 unit downward- we get the graph of hxD- If we shift the graph of f x by 1 unit downward- we get the graph of g x

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f(x) Transforms to |f(x)|

If f x = e x ...

Question

If $f (x) = e^{x}, g (x) = e^{x} + 1$ and $h (x) = e^{x} - 1$ , then which of the following is/are correct?

If we shift the graph of

f (x)

1

unit upward, we get the graph of

h (x)

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If we shift the graph of

f (x)

1

unit upward, we get the graph of

g (x)

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If we shift the graph of

f (x)

1

unit downward, we get the graph of

h (x)

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If we shift the graph of

f (x)

1

unit downward, we get the graph of

g (x)

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Solution

The correct option is C If we shift the graph of $f (x)$ by $1$ unit downward, we get the graph of $h (x)$
To draw the graph of $f (x) + 1$ , we shift the graph of $f (x)$ by $1$ unit upward.
To draw the graph of $f (x) - 1$ , we shift the graph of $f (x)$ by $1$ unit downward.

As $f (x) = e^{x}$ , so
$f (x) + 1 = e^{x} + 1 = g (x) f (x) - 1 = e^{x} - 1 = h (x)$

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If f(x)=ex,g(x)=ex+1 and h(x)=ex−1, then which of the following is/are correct?

If $f (x) = e^{x}, g (x) = e^{x} + 1$ and $h (x) = e^{x} - 1$ , then which of the following is/are correct?