In the given figure- the angle at A is -2- Then- the graph represents the function-

The correct option is E y = |x 2| + 4 A=(2,4) and B=(0,6) ∠ A=90^∘ , x=2 equally divides the graph.We can see that the graph is sh ...

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Standard XII

Mathematics

Algebra of Limits

In the given ...

Question

In the given figure, the angle at $A$ is $\frac{π}{2}$ . Then, the graph represents the function.

y = | 2 x - 4 | + 4

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y = - | x | + 6

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y = | 4 x - 6 | + 2

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y = | x + 2 | + 4

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y = | x - 2 | + 4

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Solution

The correct option is E $y = | x - 2 | + 4$
$A = (2, 4)$ and $B = (0, 6)$
$∠ A = 90^{\circ}$ , $x = 2$ equally divides the graph.
We can see that the graph is shifted 2 units rightward and 4 units upwards
Therefore,
Graph represents function:
$y = | x - 2 | + 4$

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In the given figure, the angle at A is π2. Then, the graph represents the function.

The correct option is E y=|x−2|+4A=(2,4) and B=(0,6)∠A=90∘, x=2 equally divides the graph.We can see that the graph is shifted 2 units rightward and 4 units upwardsTherefore,Graph represents function:y=|x−2|+4

In the given figure, the angle at $A$ is $\frac{π}{2}$ . Then, the graph represents the function.

The correct option is E $y = | x - 2 | + 4$
$A = (2, 4)$ and $B = (0, 6)$
$∠ A = 90^{\circ}$ , $x = 2$ equally divides the graph.
We can see that the graph is shifted 2 units rightward and 4 units upwards
Therefore,
Graph represents function:
$y = | x - 2 | + 4$