Which among the following represents the graph of the curve $y = - 2 | x - 3 | + 8$ ?

Open in App

Solution

$| x - 3 | = {\begin{matrix} 3 - x, & if x < 3 x - 3, & if x \geq 3 \end{matrix}$
$∴ y = - 2 | x - 3 | + 8 = {\begin{matrix} 2 x + 2, & if x < 3 - 2 x + 14, & if x \geq 3 \end{matrix}$

Graph of $y = - | x | :$

Graph of $y = - | x - 3 | :$
Shift graph of $y = - | x |$ , $3$ units rightwards.

Graph of $y = - 2 | x - 3 | :$
Shrink graph of $y = - | x - 3 |$ , $2$ times.

Graph of $y = - 2 | x - 3 | + 8 :$
Shift graph of $y = - 2 | x - 3 |$ , $8$ units upwards.

Suggest Corrections

Similar questions

y = 2 sin 2 x

Which of the following graph represents 2x - y = 10?

y = \sqrt{x + 1}

y = s e c^{- 1} (x)

y = x^{3}

y = x^{7}

y = x^{2}

y = x^{6}

Join BYJU'S Learning Program